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5. Given rectangle RECT with vertices R(-7, 2), E(–1,2), C(-1, 6) and T(-7,6). a. How would you dilate rectangle RECT to create the image R'E'C'T' so that the length R'E' is three times the length RE and the height R'T" is half the height RT? What would be the dilation rule (x, y) → (?x, ?y) to create rectangle R'E'C' T'? b. What are the coordinates of the vertices of R'E'C'T'? c. Is the transformation of RECT to R'E'C'T' a dilation transformation? Explain. d. What is the ratio of the perimeter of RECT to R'E'C'T'?

5. Given rectangle RECT with vertices R(-7, 2), E(–1,2), C(-1, 6) and T(-7,6). a. How would you dilate rectangle RECT to create the image R'E'C'T' so that the length R'E' is three times the length RE and the height R'T" is half the height RT? What would be the dilation rule (x, y) → (?x, ?y) to create rectangle R'E'C' T'? b. What are the coordinates of the vertices of R'E'C'T'? c. Is the transformation of RECT to R'E'C'T' a dilation transformation? Explain. d. What is the ratio of the perimeter of RECT to R'E'C'T'?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Given rectangle RECT with vertices R(-7, 2), E(-1, 2), C(-1, 6) and T(-7, 6). a. How would you dilate rectangle RECT to create the image R'E'C'T' so that the length R'E' is three times the length RE and the height R'T' is half the height RT? What would be the dilation rule (x, y) → (?x, ?y) to create rectangle R'E'C'T'? b. What are the coordinates of the vertices of R'E'C'T'? c. Is the transformation of RECT to R'E'C'T' a dilation transformation? Explain. d. What is the ratio of the perimeter of RECT to R'E'C'T'?
Transcribed Image Text:5. Given rectangle RECT with vertices R(-7, 2), E(-1, 2), C(-1, 6) and T(-7, 6). a. How would you dilate rectangle RECT to create the image R'E'C'T' so that the length R'E' is three times the length RE and the height R'T' is half the height RT? What would be the dilation rule (x, y) → (?x, ?y) to create rectangle R'E'C'T'? b. What are the coordinates of the vertices of R'E'C'T'? c. Is the transformation of RECT to R'E'C'T' a dilation transformation? Explain. d. What is the ratio of the perimeter of RECT to R'E'C'T'?
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