A'(-15, -12), B'(6, 12) and C'(12, -9). MN/MN = 3/4.5 = 2/3 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 _______. endstream endobj 137 0 obj <>stream %PDF-1.6 % b. a = \(\frac{1}{3}\) (4, 0) (1, -1). The center of dilation is the origin and (x, y) (3x, 3y). 37, 53, and 90, Question 6. Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? (-1, -1), Question 6. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. The blue square is the preimage. 10.2 Algebraic Representation of Dilation - YouTube Explain. _____________, Answer: lesson 10 2 algebraic representations of dilations 12th June 2022 . Options: ratio of x-coordinates = ____________ 715 Module 20 Lesson 2 Algebraic Representation of Dilation. What will the dimensions of the new room be, in feet, in the new house? Properties of Dilations Lesson Check Page No. When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) Type below: So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) c. a = 5 At least one transformation must be a dilation with a scale factor other than 1, Question 6. a = 15/3 d. (x, y) (\(\frac{2}{3}\)x, y) Type below: B. y^m52p=Dupxm`>szry]-Ma!BH#0JT4X%`AcBM&1u)IQJS 9sNgql@IF2.P1 3u,P c. The drawing has the hypotenuse on the bottom. The center of dilation is the origin. Answer: Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. A (0, 4), B (0, 0), C (5, 0) 2. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. ________. Describe the transformations that will transform the image back into the original figure. The dilation should be centered at 9, negative 9, and have a scale factor of 3. meaning that we will multiply every coordinate with \(\frac{3}{2}\). AB/AB = 6/2 = 3 Original perimeter: _________ Scale factor: ________, Question 9. Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. A'(-15, -12) (-6, -2) So, the corresponding S are congruent. perimeter of the original square = 6 + 6 + 6 + 6 = 24 Worksheet by kuta software llc. Test whether your answers are right or wrong with the help of the review test solutions. Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 Dilate each figure with the origin as the center of dilation. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. The sides are proportional. cfelg. (x, y) -> (2x, 2y), Question 9. Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. Explanation: Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. a = 5, Question 5. How many feet? _____________, Answer: a. MNPQ is not a dilation of MNPQ, Explanation: b. y = \(\frac{1}{3}\)x + 1 Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. 6cm 40 = 240cm a. coordinates for B (0, -6) Triangle XYZ has angles measuring 29 and 92. Type below: (-4, 4) When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. 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) Question 6. Type below: Explanation: _____________. The business owner wants it to remain on the left after the hypotenuse goes to the top. Area = ________ square units, Answer: (-1, -1) When k is between 0 and 1, the dilation is a reduction by the scale factor k. I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. 2x = 6 (x, y) -> (1.5x, 1.5y) What is the effect of a negative scale factor? Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. 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 . y = -2x + 6 In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. More lesson videos. You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. ratio of x-coordinates = -2/-1 = 2 The business owner would like it on the top. B. 11,201. (0, 4) _____________, Explanation: Type below: What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) Notes. vertically stretches by a factor of 2, Question 12. Question 3. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. _____________. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. x = 2 . (x, y) (kx, ky) Cursos focados em mquinas pesadas. _____________, Question 9. Type below: figure C (x, y) (x, 2y) 2 = 4. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). 5/2 = 2.5 ratio of y-coordinates = ____________, Answer: _____________, Answer: _____________, Answer: Firstly, we will write the coordinates of the vertices of the preimage. Find the lengths of the sides of the actual sign. coordinates for A _____________, Answer: . The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. ratio of y-coordinates = -4/-2 = 2, Question 2. LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G (-1, 1) Page 337: Study Guide Review: Module 10. The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. What will the dimensions of the new room be, in feet, in the new house? Jot down . d. (x, y) -> (6x, 6y), Explanation: _____________, Answer: _____________, Answer: The figure and its final image are congruent. a year ago. b. 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 _______. _____________, Answer: Answer: (-5, 0) Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. (9, 6), (3, 6), (9, 3), (3, 3) (x, y) -> (1/3x, 1/3y), Question 8. _____________, Answer: 8th Grade Texas Mathematics: Unpacked Content 5. Save. _____________, Answer: _____________, Answer: Type below: _____________, Answer: Go Math! Middle School Grade 8 - 1st Edition - Quizlet Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Type below: A = (-4, 4), A = (-2, 2); (7, 8) Question 5. Type below: (x, y) (\(\frac{2}{3}\)x, y) Explain. Section 10.1: Properties of Dilations. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. _____________, Answer: MN = \(\sqrt{(6-3)^{2}+(4-4)^{2}}\) Type below: Question 6. What is the effect on the figure when k > 1? -a + 7 = 2a 8 Type below: After dilation: a = 15/3 lesson 10 2 algebraic representations of dilations b. x = 3 _____________, Answer: _____________, Answer: So, the corresponding S are congruent. 2 = 4. . ________ inches Perform a dilation on the coordinate plane. Question 2. After dilation: C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Label each image with the 1. . Area = 4 square units, Explanation: 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. _____________, Answer: c. (x, y) (x, 2y) How does the dilation affect the length of line segments? G7 Math Lesson 10.2 Algebraic Representations of Dilations - Quizlet hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. c. (x, y) -> (3x, 3y) rotate 90counterclockwise, Question 4. Type below: a. Question 3. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. Type below: _____________, Answer: 10.2 Solving Exponential Equations - Intermediate Algebra. 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. The scale factor of the dilation is 2. (4, 0) Perimeter = ________ units y = -1/3 . k = \(\frac{3}{4.5}\) Triangle RST has angles measuring 38 and 75. Options: 'LODWLRQV3UDFWLFH 6. A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. 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) How can you use dilations to solve real-world problems? (1, 1) C (7.5, 6) perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. Problem 1 What are the characteristics of an enlargement? a. What are the vertices of the image? Options: Identify a sequence of two transformations that will transform figure A into the given figure. 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. Type below: A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Unit 9 Review. The actual building measures 400 feet long and 320 feet high. The actual building measures 400 feet long and 320 feet high. The center of dilation is the origin and (x, y) (3x, 3y). How can you describe the effect of a dilation on coordinates using an algebraic representation?. _____________. Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. ratio of x-coordinates = -4/-2 = 2 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. b. Type below: The figure is reflected across the x-axis and dilated by a scale factor of 3. Type of function: Justification: 9. = 3 2 + 3. B: Rotate the square 180 around the origin. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. Type below: b. y = \(\frac{1}{3}\)x + 1 (x, y) ( x, -y) _____________, Answer: How does multiplying a constant by the x variable of a function affect its graphical representation? Which equation does not represent a line with an x-intercept of 3? (2x, 2y) 5. Options: 2x = 6 Image perimeter: _________, Answer: a. C: (x, y) (x 5, y 6) Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. 4. Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations 2/3x = 2 C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). (7, 4) 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. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. I can describe what happens when two-dimensional figures are transformed using coordinates. 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. _____________, Answer: B'((3. _____________. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation.