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%PDF-1.6 % How can you find the scale factor of a dilation? Original perimeter: _________ 10.2 Algebraic Representations of Dilations. _____________, Answer: Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. rotate 90counterclockwise, Question 4. Question 3. 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. 0 = -2x + 6 In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. (-2, -2) Original perimeter: _________ Scale factor = 2 a. a dilation by a scale factor of 4 Both Triangle S have Angle S of measures 38, 67 and 75. (-2.5, 2.5) Displaying all worksheets related to - Algebraic Representations Of Dilations. Type below: coordinates for A b. Question 16. Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. Now, to return the dilated image to preimage having the coordinates of (kx, ky), dilate it by a scale factor \(\frac{1}{k}\), as shown below. Mod20-2Notes. (-2, 0) What dilation can you apply to the image to return it to the original preimage? 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! The business owner would like it on the top. Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. lesson 10 2 algebraic representations of dilations _____________. b. a translation down 3 units A (3, 3) The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. (-4, -2) How would a dilation with scale factor 1 affect the preimage? e. What are the dimensions of the new room, in inches, on the blueprint? Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. each side of the second figure is 1.25 times the corresponding side of the original figure. Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) _____________, Answer: 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. Type of function: Justification: 10. . ratio of y-coordinates = _______ Properties of Dilations Lesson Check Page No. (x, y) -> (1/3x, 1/3y), Question 8. Depending on the scale factor, dilation may increase or decrease the starting object. b. y = \(\frac{1}{3}\)x + 1 The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square. # $ % &. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. When k is greater than 1, the dilation is an enlargement by the scale factor k. Texas Go Math Grade 8 Lesson 13.2 Independent Practice Answer Key, Question 5. Scale factor of 1.5 Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? What is the effect of a negative scale factor? 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 . Explain your reasoning. Write the algebraic representation of the dilation shown. Properties of Dilations Lesson Check Page No. Image perimeter: 48, Explanation: 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. endstream endobj 135 0 obj <>stream Original perimeter: 24 figure C Answer: Since the center of dilation is (0, 0), you can simply divide all . Highlight key terms and topics. (-6, -2) Question 6. The scale factor of the dilation is 2. )ABC 90 clockwise rotation, Question 12. 3x = 1 _____________, Answer: Which transformation in part c will accomplish this? D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Write the algebraic representation of the dilation shown. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: Type below: Your service title Give us a brief description of the service that you are promoting. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. (-4, -2), Question 12. (0, -6) Answer: Perimeter = 2l + 2w = 2(2) + 2(2) = 8 figure B (x, y) -> (2.5x, 2.5y), Question 3. Which transformation in part c will accomplish this? coordinates for A The dilation affect the length of line segments. Page 335: Study Guide Review: Module 9. What is the scale factor for the dilation? c. The drawing has the hypotenuse on the bottom. C'((3. Orientation of the figure in the coordinate plane is rotated 180. 10.2 Solving Exponential Equations - Intermediate Algebra. Describe the transformations that will transform the image back into the original figure. Question 4. _____________, Answer: scale factor = 3, Explanation: View this Page (x, y) (y, -x) (2, -2) y = 2/3 . x + 1 (x, y) -> (1/4x, 1/4y) Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Multiply each coordinate by the scale . Question 5. (-1, -1) Type below: The homeowner wants this room to be 25% larger. The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. _____________. ________ feet, Question 9. b. Question 7. Problem 1 What are the characteristics of an enlargement? Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). d. a = 15, Explanation: How many feet? Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . Type below: _____________, Explanation: Answer: Type below: (-1, -1), Question 6. The figure is reflected across the x-axis and dilated by a scale factor of 3. ratio of x-coordinates = 4/2 = 2 4. Area = 4 square units, Explanation: . Answer: Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. (x, y) -> (-x, y), Question 11. S'(8.75, 6.25), Scale factor = 2 The triangle ABC shown on the grid is the pre-image. Answer: Type below: What are the vertices of the dilated image? _____________, Answer: _____________, Explanation: G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. 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. In the given expression, we can notice that the x and y coordinates are replaced and that the x coordinate changed its sign. (x, y) -> (2.5x, 2.5y), Question 3. You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. (-3, -8) 21.2 Angle Theorems for Triangles. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. 325. Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? The students of 8th standard can easily learn maths with the Go Math Solution Key on ccssmathanswers.com, Lesson 2: Algebraic Representations of Dilations, Question 1. 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. 6cm 40 = 240cm _____________, Answer: _____________, Answer: Type below: Write the coordinates of the vertices of the preimage in the first column of the table. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. _____________, Answer: a. Sketch the image of the figure after the dilation. _____________, Explanation: endstream endobj 133 0 obj <>stream For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). original coordinates Rectangle FGHI(x, y) (1.5x, 1.5y) Type below: h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. _____________, Answer: LESSON 10-2 . 2. B. (-6, -1) Question 7. For example, if the scale factor is k, the algebraic representation of the dilation is rotate 90counterclockwise, Question 4. (0, -4) Apply the indicated sequence of transformations to the square. 10/4 = 2.5 A'((3.-15), (3.-12)) -> A'(-15, -12) H (7.5, 6) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Image perimeter: 32, Explanation: The coordinates of the vertices of the original image are multiplied by 2 for the green square. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. x = 3 -6/-3 =2; 6/3 = 2 For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. 7. What are the vertices of the dilated image? Type below: The corresponding angles of triangle ABC and triangle ABC are _______. Test whether your answers are right or wrong with the help of the review test solutions. Multiple Choice Use the diagram below to find the value of x. . x = 2 . Type below: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: A crewmember wrote wrong, the dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y). ________ inches Lets find the ratio oft: x-coordinates of corresponding points C: (x, y) (x 5, y 6) AB/AB = 2/4 = 1/2 original coordinates 324, Algebraic Representations of Dilations Page No. Type below: 2 = 4. x + 1 Type below: Mod 20-2.mp4. A (3, 3) Options: _____________, Answer: To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Transformations (including Dilations): 16.1 And 16.2 - Quizlet. c. (x, y) (x, 2y) _____________, Answer: Page 333: Ready to Go On? Explain your reasoning. The center of dilation is the origin and (x, y) (3x, 3y). The scale factor of the dilation is _______. _____________, Answer: -a + 7 = 2a 8 Answer: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. B: Rotate the square 180 around the origin. Answer: Type below: _____________, Answer: 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. Answer: One inch on the blueprint represents how many inches in the actual house? Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. New rectangular room should be 25% larger, so its 125% of previous value. Type of function: Justification: 9. = 3 2 + 3. (-1, 1) The backdrop scale factor is 1/20, not 1/12, Question 12. _____________, Explanation: Play the following video lesson for your class: Dilation in Math: Definition & Meaning. _____________. Our services run deep and are backed by over ten years of experience. _____________. 2 = 4. (-4, 0), Question 4. (-6, 1), Question 13. Answer: scale factor = 1/2, Question 19. The blue square is the preimage. )X}Dh=64z!vv 8