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. Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4), D(-4, -4) and P(-2, 2), Q(4, 2), R(4, -2), S(-2, -2)

. Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4), D(-4, -4) and P(-2, 2), Q(4, 2), R(4, -2), S(-2, -2)

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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. Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4), D(-4, -4) and P(-2, 2), Q(4, 2), R(4, -2), S(-2, -2)
Transcribed Image Text:. Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4), D(-4, -4) and P(-2, 2), Q(4, 2), R(4, -2), S(-2, -2)
Expert Solution
Step 1

Two polygons are said to be similar if they have the same shape and the corresponding sides are proportional.

If any one of these criteria fails then the figures will not be similar.

To have a clear idea of the figures, first sketch the polygons. Then check whether the angles are equal.

If the angles are equal then check whether the ratio of corresponding sides is equal.

 

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