Is BC congruent to DE? B 31 32 D 33 34 E 35

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

Is BC congruent to DC?

The image presents a number line with points labeled B, C, D, and E. Each point is marked by a green dot with the corresponding numbers below:

- Point B is at 31
- Point C is at 32
- Point D is at 33
- Point E is at 35

There is a question at the top of the image: "Is \( \overline{BC} \) congruent to \( \overline{DE} \)?"

There are two buttons below the number line with the options "yes" and "no" to answer the question. 

Explanation of Segments:

- Segment \( \overline{BC} \) spans from 31 to 32, which has a length of 1 unit.
- Segment \( \overline{DE} \) spans from 33 to 35, which has a length of 2 units.

The task involves determining whether these two segments are congruent, meaning they have the same length.
Transcribed Image Text:The image presents a number line with points labeled B, C, D, and E. Each point is marked by a green dot with the corresponding numbers below: - Point B is at 31 - Point C is at 32 - Point D is at 33 - Point E is at 35 There is a question at the top of the image: "Is \( \overline{BC} \) congruent to \( \overline{DE} \)?" There are two buttons below the number line with the options "yes" and "no" to answer the question. Explanation of Segments: - Segment \( \overline{BC} \) spans from 31 to 32, which has a length of 1 unit. - Segment \( \overline{DE} \) spans from 33 to 35, which has a length of 2 units. The task involves determining whether these two segments are congruent, meaning they have the same length.
Expert Solution
Step 1

Given: The line 

Geometry homework question answer, step 1, image 1 

To check the line segment BC is congruent to DE

Line segment has two end points.

Line: A straight line extends without end in both directions.

 

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