Are the rectangles similar? Explain how you know. R_8 S 15 T. 24 R5O

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Are the rectangles similar? Explain how you know.**

The image includes two rectangles:

1. **Rectangle 1 (WXYZ)**
   - Side WX = 15
   - Side WV = 24

2. **Rectangle 2 (QRST)**
   - Side QR = 5
   - Side RS = 8

To determine if the rectangles are similar, compute the ratio of the corresponding sides and compare them:

For Rectangle 1 (WXYZ):
- Shorter side = 15
- Longer side = 24
- Ratio of longer side to shorter side = 24/15 = 8/5

For Rectangle 2 (QRST):
- Shorter side = 5
- Longer side = 8
- Ratio of longer side to shorter side = 8/5

The ratios are equal (8/5), so the rectangles are similar. This is because their corresponding sides are proportional.

Below the diagram, there is a text input box on the website where students can write their explanations to support their answers.
Transcribed Image Text:**Are the rectangles similar? Explain how you know.** The image includes two rectangles: 1. **Rectangle 1 (WXYZ)** - Side WX = 15 - Side WV = 24 2. **Rectangle 2 (QRST)** - Side QR = 5 - Side RS = 8 To determine if the rectangles are similar, compute the ratio of the corresponding sides and compare them: For Rectangle 1 (WXYZ): - Shorter side = 15 - Longer side = 24 - Ratio of longer side to shorter side = 24/15 = 8/5 For Rectangle 2 (QRST): - Shorter side = 5 - Longer side = 8 - Ratio of longer side to shorter side = 8/5 The ratios are equal (8/5), so the rectangles are similar. This is because their corresponding sides are proportional. Below the diagram, there is a text input box on the website where students can write their explanations to support their answers.
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