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ABCD is a rectangle. Find DC. A D 8 ft E ¯¯ B 6 ft C 08 O 10 06 05

ABCD is a rectangle. Find DC. A D 8 ft E ¯¯ B 6 ft C 08 O 10 06 05

Elementary Geometry For College Students, 7e
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
SectionP.CT: Test
Problem 1CT
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### Question for Educational Website **Problem Statement:** ABCD is a rectangle. Find DC. **Diagram Description:** - The rectangle ABCD is shown with vertices A, B, C, and D arranged clockwise. - The length AB is labeled as 8 feet. - The width BC is labeled as 6 feet. - Diagonal lines AC and BD intersect at point E inside the rectangle. **Answer Choices:** - ⭘ 8 - ⭘ 10 - ⭘ 6 - ⭘ 5 ### Detailed Explanation: 1. **Rectangular Properties:** - In a rectangle, opposite sides are equal in length. - The lengths AB and DC are the same, and the lengths AD and BC are the same. 2. **Finding DC:** - Since AB = 8 feet and AB is opposite to DC, it implies that DC = 8 feet as well. ### Solution: By applying the properties of rectangles, **The length of DC is 8 feet.** Select the correct answer based on the problem statement and solution. **Correct Answer:** - ⭘ 8
Transcribed Image Text:### Question for Educational Website **Problem Statement:** ABCD is a rectangle. Find DC. **Diagram Description:** - The rectangle ABCD is shown with vertices A, B, C, and D arranged clockwise. - The length AB is labeled as 8 feet. - The width BC is labeled as 6 feet. - Diagonal lines AC and BD intersect at point E inside the rectangle. **Answer Choices:** - ⭘ 8 - ⭘ 10 - ⭘ 6 - ⭘ 5 ### Detailed Explanation: 1. **Rectangular Properties:** - In a rectangle, opposite sides are equal in length. - The lengths AB and DC are the same, and the lengths AD and BC are the same. 2. **Finding DC:** - Since AB = 8 feet and AB is opposite to DC, it implies that DC = 8 feet as well. ### Solution: By applying the properties of rectangles, **The length of DC is 8 feet.** Select the correct answer based on the problem statement and solution. **Correct Answer:** - ⭘ 8
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