(x, y) (0.5x, 1.5y) Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. 2/3x = 2 Type below: Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. Explanation: The actual building measures 400 feet long and 320 feet high. 4), (3.-3)) -> C'(12, -9), Question 7. Some dilations are reductions. Answer: Answer: original coordinates The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Which equation does not represent a line with an x-intercept of 3? LESSON 10-2 Practice and Problem Solving: A/B 1. (x, y) -> (x, -y) The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Texas Go Math 8th Grade Answers - Go Math Answer Key What is the effect on the figure when k > 1? Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Type below: height: |QT| = |6.25 2.5| = 3.75 inch One inch on the blueprint represents 1 48 feet = 48 \(\frac{1}{12}\) inch = 4 inch, c. Write the algebraic representation of the dilation from the blueprint to the house. What are the vertices of the image? Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. B: Rotate the square 180 around the origin. figure B Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. 5/2 = 2.5 Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. (-1, 1) (-2, -2), Question 12. 90 clockwise rotation, Question 12. ratio of x-coordinates = 2 Question 3. _____________, Answer: Question 13. What is the scale factor in terms of inches to inches? (1, 1) Question 16. What are the coordinates? c. The drawing has the hypotenuse on the bottom. 8cm 40 = 320cm The dilation affect the length of line segments. 3a = 15 h2V0Pw/+Q0L)0 (-3, -4) The blueprints are plotted on a coordinate plane. Type below: c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. 2), (3.6)) -> B'(6, 18) MN/MN = 3/4.5 = 2/3 Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Explain. C (7.5, 6) Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). New rectangular room should be 25% larger, so its 125% of previous value. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 2/3x = 2 How does multiplying a constant by the x variable of a function affect its graphical representation? The corresponding angles of triangle ABC and triangle ABC are congruent. After dilation area = l.w = 2 . MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). HW3 - Dilation with Proportions - Dilation & Proportions NAME DATE Type below: (x, y) -> (1/3x, 1/3y), Question 8. letter of the transformation applied. One inch on the blueprint represents how many inches in the actual house? PDF CorrectionKey=A Transformations and Similarity MODULE 10 0 = 3x 1 Perform a dilation on the coordinate plane. Describe two transformations that will do this. _____________. Type below: Write the algebraic representation of the dilation shown. Dilation is a process of changing the size of an object while the object remains in the same Shape. The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. d. What are the perimeter and area of the image? Type below: 66`! S0\WbgU`U`6$ &m. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p Go Math Grade 8 Answer Key Chapter 10 - CCSS Math Answers The corresponding angles of triangle ABC and triangle ABC are _______. lesson 10 2 algebraic representations of dilations; Algebraic Representations Of Dialations Worksheets - Learny Kids A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. c. What are the perimeter and area of the preimage? Perimeter = 2l + 2w = 2(8) + 2(8) = 32 During the video lesson have students: Take notes on the material. (-2, 0) a. _____________. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). x = 3 (-4, 4) A(0, 8), B(0, 0), C(10, 0) 3. _____________, Answer: Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? a. Options: B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) a = 15/3 (3, 4) ratio of y-coordinates = 4/2 = 2 d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: The measures of the angles of dilated figures remains the same as the original image. Question 16. 21.1 Parallel Lines Cut by a Transversal. _____________. by 3.75 in. What are the coordinates of the new room? area = l.w = 2 . Dilate the image by a factor of 1/4 and reflect it back across the y-axis. Solve a + 7 = 2a 8. scale factor of \(\frac{1}{3}\) Algebraic Representations of Dilations. Answer: When k is between 0 and 1, the dilation is a reduction by the scale factor k. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Multiply each coordinate by the scale . The square is dilated under the dilation (x, y) (0.25x, 0.25y). Question 2. _____________, Explanation: PDF Grade 8 10.2 Notes - Weebly (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). Question 3. (x, y) -> (2.5x, 2.5y) c. Write the algebraic representation of the dilation from the blueprint to the house. R'(8.75, 2.5), d. a = 15, Explanation: (x, y) -> (1.5x, 1.5y) -a + 7 = 2a 8 B = (4, 2), B = (2, 1); C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . (-4, 3) But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula scale factor = 3, Explanation: Dilate each figure with the origin as the center of dilation. facial recognition time clock no monthly fee; mower deck spindle replacement What is the effect on the figure when k > 1? This is called a reduction. Sketch the image of the figure after the dilation. Question 6. coordinates for B Explanation: Answer: ________. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. community surgical supply lawsuit; . A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). The Organic Chemistry Tutor. _____________. d. What are the perimeter and area of the image? 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. c. (x, y) -> (3x, 3y) The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). coordinates for A 8th Grade Geometry Notes Teaching Resources | TPT Explain your reasoning. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). _____________, Answer: Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. The blueprints are plotted on a coordinate plane. _____________, Answer: No; one figure is not a dilation of the other, Explanation: (x, y) -> (-x, y); (x, y) -> (3x, 3y) vertically stretches by a factor of 2, Question 12. In Exercises 710, the transformation of a figure into its image is described. MNPQ is not a dilation of MNPQ, Explanation: (-6, -2) Properties of Basic Dilations - Video & Lesson Transcript - Study.com Type below: Dilations Geometry Worksheet / Kuta Software Geometry Dilations Identify the scale factor used in each dilation. Question 5. _____________, Answer: Find the lengths of the sides of the actual sign. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. 8th Grade Units - MS 442 - SCHOOL FOR INNOVATION Identify a sequence of two transformations that will transform figure A into the given figure. (-7, -4) A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. a year ago. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Algebra Review. Make a Conjecture Triangle RST has angles measuring 67 and 38. [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. Find the scale factor and the perimeter of each square. Answer: h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! (x, y) -> (x, y+6) How can you find the scale factor of a dilation? Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function Original perimeter: _________ (0, -4) Explanation: 77% average accuracy. (-1, 1) Rotate the drawing 180 around the origin. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) Explain how this can happen. The ratios of the lengths of the corresponding sides are not equal. Type below: Dilate each figure with the origin as the center of dilation. Then write an algebraic rule to describe the dilation. The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. ________. Type below: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. _____________, Answer: _____________, Answer: x = 1/3, Question 6. (-1, -1) Answer: Multiple Choice Use the diagram below to find the value of x. . (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Page 333: Ready to Go On? Type below: Answer: G (7.5, 3) BD/BD = 6/2 = 3 0 = -2x + 6 ratio of y-coordinates = _______ Scale factor = 2 A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. (x, y) -> (x +5, y-6), Question 3. (x, y) -> (-y, x) k = \(\frac{3}{4.5}\) Notes. Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, 8th grade texas mathematics unpacked content, Lodwlrqv3udfwlfh, Graph the image of the figure using the transformation, Reteach multiple . Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. Question 5. Image perimeter: _________, Answer: When 0 < k < the dilation is a reduction of the original by the scale k. What k > 1 the dilation is a enlargement of the original by the scale k. Explanation B: Question 12. For scale factors between 0 and 1, the image is smaller than the preimage. _____________. ratio of y-coordinates = 2/1 = 2 e. What are the dimensions of the new room, in inches, on the blueprint? (2, -2) Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. (-1, -1) h2W0P+-60rb X;; | The angle measures are the same horizontally shrinks by a factor of 2/3, Question 12. Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. Ilustrative Math Grade 3 Unit 8 Lesson 2 Teaching Resources | TPT Complete the table by writing same or changed to compare the image with the original figure in the given transformation. 2x = 6 (0, 4) Type below: So, the scale factor of the dilation is 3/4. Find the angle measures of the actual sign. Total Meals Sent Learn More. ________ inches Give the coordinates of each vertex of ABC. Sketch the image of the figure after the dilation. (-6, -1) A'(-15, -12) (-4, -2), Question 12. Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. (x, y) (\(\frac{2}{3}\)x, y) (3, 2), (1, 2), (3, 1), (1, 1) lesson 10 2 algebraic representations of dilations (x, y) (2.5x, 2.5y) _____________, Answer: We have provided the Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity in the pdf format so that you can practice in online and offline mode. (x, y) -> (-x, y); (x, y) -> (x, 3y) G (7.5, 3) The triangles have only one pair of congruent angles, Question 2. The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number (4, 0) # $ % &. h24T0P044P06R Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. 7. y = 3x 1 PDF LESSON Algebraic Representations of Dilations 13-2 Practice and Problem In Exercises 710, the transformation of a figure into its image is described. (x, y) (y, -x) B (7.5, 3) Options: by cfelg. Algebraic Representation Of Dialation - Teacher Worksheets The homeowner wants this room to be 25% larger. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. The business owner wants it to remain on the left after the hypotenuse goes to the top. Apply the indicated sequence of transformations to the square. x = 3 20.2 Algebraic Representations of Dilations. Type below: Type below: Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. Q'(2.5, 2.5), So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. _____________, Answer: ratio of y-coordinates = 2/1 = 2 The business owner would like it on the top. Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. 8cm 40 = 320cm (0, 4) Page 337: Study Guide Review: Module 10. For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. Rectangle FGHI(x, y) (1.5x, 1.5y) _____________, Answer: The triangle ABC shown on the grid is the pre-image. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. C: (x, y) (x 5, y 6) 3x = 1 Be the first person to grab Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity to score good marks in the exam. Answer: %PDF-1.6 % vertically stretches by a factor of 2, Question 12. A (0, 4), B (0, 0), C (5, 0) 2. The center of dilation is the origin and (x, y) (3x, 3y). I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) _____________. Question 5. (x, y) -> (1.5x, 1.5y) The vertices of the ditilated image are X'(1, 1), Y'(3, 3) and Z'(1, 3), Texas Go Math Grade 8 Lesson 13.2 Guided Practice Answer Key. MN = \(\sqrt{(6-3)^{2}+(4-4)^{2}}\) d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Algebraic Dilations Teaching Resources | TPT Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Question 6. A: (x, y) (-x, y) (x, y) -> (x +5, y-6), Question 3. How does the dilation affect angle measures? MN/MN = 3/4.5 = 2/3 Lets find the ratio oft: x-coordinates of corresponding points Answer: (-2, -2), Question 12. _____________, Answer: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Answer: 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. Type below: (-6, -1) Answer: (-7, -4) Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Grade: 9, 10, or 11 . Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. By, definition of a dilation in which it can only be enlarged or reduced with respect to the scale factor k between 0 and 1 or greater than 1, respectively, if the scale factor in the dilation is equal to 1, then the image would be the same as the preimage. coordinates for C Question 6. Question 12. (0, 4) The Go Math Grade 8 Solution Key Chapter 10 Transformations and Similarity help the students to enhance their math skills. T'(2.5, 6.25), Question 9. Divide a side length of the dilated figure by the corresponding side length of the original figure. 8th grade. 1/3x = 1 Jot down . The sides are proportional. _____________, Answer: The scale factor k describes how much the figure is enlarged or reduced. The blue square is the preimage. A valuable lesson for a happy life (2:33 mins) After viewing this, the facilitator will ask the participants to identify the rocks, pebbles and sands in their life. _____________, Explanation: C'(12, -9), Explanation: A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Perimeter = 8 units Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . Easily fill out PDF blank, edit, and sign them. _____________, Question 12. The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. The blue square is the preimage. Substituting the value of k Original perimeter: _________ _____________, Explanation: Type below: The dimension of a new room on a blueprint is now: dilation with a scale factor of 0.5 This 8th-grade geometry guided notes and activity bundle is a great way for your students to learn about solving transformations, angle relationships, and 2d views of three-dimensional models! dilations map a line segment (the preimage) to another line segment whose length is the product of the scale factor and the length of the preimage Dilation Property #6 dilations map a line not passing through the center of dilation to a parallel line and leave a line passing through the center unchanged k= image over preimage . c. a = 5 endstream endobj 136 0 obj <>stream lesson 10 2 algebraic representations of dilationsppl center view from my seatppl center view from my seat 21/7 = 3 mm Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. H (7.5, 6) algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. Type below: Type below: c. The drawing has the hypotenuse on the bottom. C'((3. a. (-4, 2) _____________, Answer: area = l.w = 8 .8 = 64, Question 6. What is the effect on the figure when k > 1? Type below: Try keep it short so that it is easy for people to scan your page. 23 times. _____________, Answer: _____________, Explanation: Original perimeter: 24 Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. (1, 1) ratio of x-coordinates = ____________ Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? Question 4. Algebraic Representation: Meaning & Examples | StudySmarter b. Type below: MN = \(\sqrt{(3)^{2}+(0)^{2}}\) The solution for this requires that you take the fifth root of both sides. One inch on the blueprint represents how many inches in the actual house? Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Type below: Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key . Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward. Then write an algebraic rule to describe the dilation. PDF LESSON Algebraic Representations of Dilations 10-2 - MR. CANTRELL You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. A: (x, y) (-x, y) Algebraic Representations of Dilations Worksheet - onlinemath4all y = -2x + 6 (-3, -8) a. a = -3 I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. 15/5 = 3 mm What are the coordinates? c. y = \(\frac{2}{3}\)x 2 PPT PowerPoint Presentation Area = 4 square units, Explanation: (x, y) -> (-x, y), Question 11. In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. 10/4 = 2.5 ratio of y-coordinates = -4/-2 = 2, Question 2. (-2, -2) (-4, -2) Identify the scale factor used in each dilation. _____________, Answer: The lengths are 240 cm, 320 cm, and 400 cm, Question 6. a. cfelg. (0, -4) Unit 9 Review. B: Rotate the square 180 around the origin. What is the length of a side of the image? Answer: 715 Module 20 Lesson 2 Algebraic Representation of Dilation. A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Graph the image of the figure using the transformation given. coordinates for D hWKo@+{"eA"EmUQF &; q8|y<>&Bad Justify your answer. ______ units, Question 6. All the explanations are given by the best maths experts. Explanation: What dilation can you apply to the image to return it to the original preimage? The blue square is the preimage. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). To calculate the verticies of the image after dilation, we will use following rule: MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) _____________, Answer: MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). 24/8 = 3 mm 10cm 40 = 400cm About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . _____________, Answer: Learning is not only important but understanding the concepts is also important for the students to enhance their skills. 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? ________ inches Options: If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. Question 1. C: (x, y) (x 5, y 6) Perimeter = 32 units perimeter of the original square = 6 + 6 + 6 + 6 = 24 Edit. Question 12. A. endstream endobj 137 0 obj <>stream x = 3 Stretch = Image Grows Larger Write the algebraic representation of the dilation shown. ratio of x-coordinates = 4/2 = 2 If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. What is the algebraic representation of this dilation? Scale factor: _________ Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. b. a = \(\frac{1}{3}\) A: (x, y) (-x, y) 4. How does the dilation affect the length of line segments? At least one transformation must be a dilation with a scale factor other than 1, Question 6. figure D \(\frac{1}{4}\) = \(\frac{1}{4}\) coordinates for A Type below: Perimeter = 8 units For 711, tell whether one figure is a dilation of the other or not. 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. Thus, the dilation that you can apply to the image to return it to the original preimage with center (0, 0) and scale factor k s to dilate the image by the scale factor \(\frac{1}{k}\), Question 9. Type below: What is the algebraic representation of this dilation? (1, -1) Write the algebraic representation of the dilation shown. 21.1 Parallel Lines Cut by a Transversal. lesson 10 2 algebraic representations of dilations The stage crewmembers calculation is incorrect. (4, 0) _____________. Answer: Then write an algebraic rule to describe the dilation. x + 1 _____________, Explanation: Length of MN, given M(4.5, 6), N(9, 6). coordinates for A The blueprint is the preimage and the house is the dilated image. Type below: For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). ratio of x-coordinates = -2/-1 = 2 Explain how this can happen. A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11.

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