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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fc23a0f-f179-4dc1-b821-df66c8dbe91e%2F09f57ec1-8469-448f-a788-7130b1851cc8%2F176t5x_processed.jpeg&w=3840&q=75)
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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