Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Angel placed a rectangular photograph on a page of the yearbook.

Rectangle \(ABCD\), shown on the coordinate grid below, represents the location of the photograph on the yearbook page.

**Coordinate Grid Description:**

- The grid is in a standard x-y coordinate plane.
- Rectangle \(ABCD\) has vertices at \(A(-8,7)\), \(B(-2,7)\), \(C(-2,4)\), and \(D(-8,4)\).

**Transformation Process:**

Angel dilates the photograph, rectangle \(ABCD\), by a scale factor of \(\frac{1}{2}\) with the center of dilation at the origin to form rectangle \(A'B'C'D'\) and then translates rectangle \(A'B'C'D'\) 3 units down to form rectangle \(A''B''C''D''\).

**Question:**

What are the coordinates of vertex \(D''\)?

Use the number pad to enter your answers in the boxes.

\(D''(\_, \_)\)
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Transcribed Image Text:Angel placed a rectangular photograph on a page of the yearbook. Rectangle \(ABCD\), shown on the coordinate grid below, represents the location of the photograph on the yearbook page. **Coordinate Grid Description:** - The grid is in a standard x-y coordinate plane. - Rectangle \(ABCD\) has vertices at \(A(-8,7)\), \(B(-2,7)\), \(C(-2,4)\), and \(D(-8,4)\). **Transformation Process:** Angel dilates the photograph, rectangle \(ABCD\), by a scale factor of \(\frac{1}{2}\) with the center of dilation at the origin to form rectangle \(A'B'C'D'\) and then translates rectangle \(A'B'C'D'\) 3 units down to form rectangle \(A''B''C''D''\). **Question:** What are the coordinates of vertex \(D''\)? Use the number pad to enter your answers in the boxes. \(D''(\_, \_)\)
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