(x, y) -> (-x, y); (x, y) -> (3x, 3y) Make a Conjecture (0, -4) 11,201. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? _____________, Answer: Rotate the drawing 180 around the origin. Determine whether one figure is a dilation of the other. ______ units, Question 6. The grid shows a diamond-shaped preimage. b. a = \(\frac{1}{3}\) Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) Question 8. What are the vertices of the image? Answer: In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Worksheets are Lodwlrqv3udfwlfh, Do not edit changes must be made through file info, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, Pre algebra, Lesson algebraic representations of transformations 9 4, Translations of shapes, Trainerinstructor notes . A'(-15, -12) B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. 325, Algebraic Representations of Dilations Lesson Check Page No. b. Graph the dilation. c. (x, y) -> (3x, 3y) length |QR| = |8.75 2.5| = 6.25 inch 715 Module 20 Lesson 2 Algebraic Representation of Dilation. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: The blue square is the preimage. x + 1 The blueprints are plotted on a coordinate plane. ratio of y-coordinates = 2, Explanation: Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Question 4. Both Triangle S have Angle S of measures 38, 67 and 75. What is the effect of a negative scale factor? (-2, 0) Easily fill out PDF blank, edit, and sign them. The grid shows a diamond-shaped preimage. Scale factor: ________, Question 9. 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. The division process is straightforward. 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 _______. h24T0P044P06R _____________, Answer: Rotate the drawing 180 around the origin. 0 = 2/3 . The Organic Chemistry Tutor. _____________, Answer: PPT PowerPoint Presentation Explanation A: Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Type below: _____________, Answer: Options: Type below: The scale factor is \(\frac{1}{4}\) letter of the transformation applied. 146 practice pages that can be used as year-long:Cool-downs or homeworkUnit 1 - 14 lessonsUnit 2 - 22 lessons Unit 3 - 29 lessonsUnit 4 - 23 lessonsUnit 5 - 14 lessonsUnit 6 - 17 lessonsUnit 7 - 17 lessonsUnit 8 - 10 lessons38 AssessmentsUnit 1 . Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . scale factor of 1.5 ________ feet, Question 9. Answer: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Type below: _____________, Question 12. d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. (-2, 0) e. What are the dimensions of the new room, in inches, on the blueprint? (-3, -4) a. a. NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. The solution for this requires that you take the fifth root of both sides. lesson 10 2 algebraic representations of dilations . (5, -3), Question 5. Algebraic Representations of Dilations - 2. PDF Algebraic Representations of Dilations - nobelms.com If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. Answer: 10/4 = 2.5 C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) math -Grade 8 - Module 10- lesson 10- 2- Algebraic representation of 10.2 Solving Exponential Equations - Intermediate Algebra. The center of dilation is the origin and (x, y) (3x, 3y). The center of dilation is the origin. ________ feet, Question 9. Answer: Worksheet by kuta software llc. Question 6. (x, y) (2.5x, 2.5y) On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . coordinates for A MN = 3, Now, let us determine the value of k, that is The homeowner wants this room to be 25% larger. _____________, Answer: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Type below: Question 4. endstream endobj 133 0 obj <>stream Image perimeter: 32, Explanation: _____________, Answer: d. y = 3x 1, Explanation: Perimeter = 32 units 4. Type below: A = (-4, 4), A = (-2, 2); Type below: BD/BD = 6/2 = 3 Multiples of Eleven Educational Resources K12 Learning, Arithmetic _____________. Type below: How many feet? translation 2 units left and 2 units up, Question 6. (-2.5, 2.5) Properties of Basic Dilations - Video & Lesson Transcript - Study.com Perform a dilation on the coordinate plane. Save. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. 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. 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. BD/BD = 6/2 = 3 _____________, Answer: Answer: Answer: Example 10.2.1 Solve for in the equation . _____________, Answer: Type below: d. (x, y) -> (6x, 6y), Explanation: 8th Grade Units - MS 442 - SCHOOL FOR INNOVATION What will the dimensions of the new room be, in feet, in the new house? coordinates for B Your service title Give us a brief description of the service that you are promoting. 8cm 40 = 320cm 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. The stage crewmembers calculation is incorrect. Then write an algebraic rule to describe the dilation. height: |QT| = |6.25 2.5| = 3.75 inch What will the dimensions of the new room be, in feet, in the new house? _____________, Answer: (x, y) -> (1.5x, 1.5y) This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. The dilation affect the length of line segments. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. 4), (3.-3)) -> C'(12, -9), Question 7. (x, y) -> (x+6, y-3) a. a = -3 (-3, -8) coordinates for A Type below: Answer: Students use algebraic representations of dilations worksheet is a grid units. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. Identify the scale factor used in each dilation. (-4, 4) Question 2. Answer: k = \(\frac{3}{4.5}\) figure D d. a = 15, Explanation: lesson 10 2 algebraic representations of dilations 320, Algebraic Representations of Dilations Page No. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity (x, y) (kx, ky) Type below: (x, y) -> (2x, 2y), Question 9. (x, y) -> (1.5x, 1.5y) (-4, 2) The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. Answer: _____________, Answer: Then write them algebraically. ratio of y-coordinates = ____________, Answer: Go Math! Middle School Grade 8 - 1st Edition - Quizlet So, the corresponding S are congruent. 2 = 4. Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Original perimeter: 16 How does the dilation affect angle measures? ratio of x-coordinates = _______ If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Let x and y be the coordinates of the original image When a dilation n 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 k, that is _____________, Answer: Displaying all worksheets related to - Algebraic Representations Of Dilations. (x, y) ( x, -y) Describe the image of a dilation with a scale factor of 1. So, the scale factor of the dilation is 3/4. The sides are proportional. The center of dilation is the origin and (x, y) (3x, 3y). Type of function: Justification: 10. . d. (x, y) -> (6x, 6y), Explanation: Perimeter = ________ units ratio of x-coordinates = -4/-2 = 2 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 velvet carpet for bedroom. In Exercises 710, the transformation of a figure into its image is described. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Identify a sequence of two transformations that will transform figure A into the given figure. The backdrop scale factor is 1/20, not 1/12, Question 12. _____________, Question 9. Area = 64 square units, Explanation: Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. lesson 10 2 algebraic representations of dilations. b. y = -2x + 6 _____________. ABC(x,y) * (x,y. T'(2.5, 6.25), Question 9. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Describe the image of a dilation with a scale factor of 1. Some dilations are reductions. (0, 4) Type below: Graph the image of the figure using the transformation given. A = (-4, 4), A = (-2, 2); MN/MN = 3/4.5 = 2/3 Coordinates after dilation Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Question 1. Dilate the image by a factor of 1/4 and reflect it back across the y-axis. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 A (3, 3) Edit. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. Explanation: Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. _____________, Answer: algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. k = \(\frac{2}{3}\), Next, Let us represent the dilation algebraically, using endstream endobj 136 0 obj <>stream
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