In A and ADEC, QR DE, QS=CD, and

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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### Triangle Congruence Question

In △QRS and △DEC, the following conditions are given:
- \( QR \cong DE \)
- \( QS \cong CD \)
- \( \angle QSR \cong \angle DCE \)

**Question:**
Which statement about △QRS and △DEC is true?

**Options:**

- ( ) They are congruent by the SSA Triangle Congruence Theorem.
- ( ) They are congruent by the SAS Triangle Congruence Theorem.
- ( ) It cannot be determined if the triangles are congruent because the angle is included.
- ( ) It cannot be determined if the triangles are congruent because the angle is not included.
Transcribed Image Text:### Triangle Congruence Question In △QRS and △DEC, the following conditions are given: - \( QR \cong DE \) - \( QS \cong CD \) - \( \angle QSR \cong \angle DCE \) **Question:** Which statement about △QRS and △DEC is true? **Options:** - ( ) They are congruent by the SSA Triangle Congruence Theorem. - ( ) They are congruent by the SAS Triangle Congruence Theorem. - ( ) It cannot be determined if the triangles are congruent because the angle is included. - ( ) It cannot be determined if the triangles are congruent because the angle is not included.
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