IS DE congruent to EF? yes DE 200 300 no 400 500 600 700 F 800 900

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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Is DE congruent to EF?

 

The question presented is: "Is \(\overline{DE}\) congruent to \(\overline{EF}\)?"

The diagram is a number line with points marked at intervals. The relevant points are labeled as \(D\), \(E\), and \(F\):
- Point \(D\) is marked at 300.
- Point \(E\) is marked at 400.
- Point \(F\) is marked at 800.

The options to answer the question are:
- yes
- no

To determine if \(\overline{DE}\) is congruent to \(\overline{EF}\), we calculate the distance between the points:
- \(\overline{DE} = 400 - 300 = 100\)
- \(\overline{EF} = 800 - 400 = 400\)

Based on this, \(\overline{DE}\) is not congruent to \(\overline{EF}\).
Transcribed Image Text:The question presented is: "Is \(\overline{DE}\) congruent to \(\overline{EF}\)?" The diagram is a number line with points marked at intervals. The relevant points are labeled as \(D\), \(E\), and \(F\): - Point \(D\) is marked at 300. - Point \(E\) is marked at 400. - Point \(F\) is marked at 800. The options to answer the question are: - yes - no To determine if \(\overline{DE}\) is congruent to \(\overline{EF}\), we calculate the distance between the points: - \(\overline{DE} = 400 - 300 = 100\) - \(\overline{EF} = 800 - 400 = 400\) Based on this, \(\overline{DE}\) is not congruent to \(\overline{EF}\).
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