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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Which statement is correct?
![### Topic 4: Assessment Form A Version 1
**Which statement is correct?**
Diagram:
The image includes two triangles that share some proportional relationships, indicated by congruence markings on their sides. The first triangle is labeled \( \triangle AGT \), with points \( A \), \( G \), \( T \). The second triangle is labeled \( \triangle QME \), with points \( Q \), \( M \), \( E \).
Each side of the triangles has markings that denote equal lengths for corresponding sides:
- \( \overline{AG} \) is marked to be equal to \( \overline{QM} \).
- \( \overline{GT} \) is marked to be equal to \( \overline{ME} \).
- \( \overline{TA} \) is marked in the same way as \( \overline{QG} \), indicating similarity or congruence.
**Options:**
A. \( \triangle AGT = \triangle QME \)
B. \( \triangle TAG = \triangle EMQ \)
C. \( \triangle GTA = \triangle QME \)
D. \( \triangle AGT = \triangle MEQ \)
To select the correct statement, determine which pair of triangles given in the options are indeed congruent based on the side markings in the diagram.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F257c3d89-2b93-4910-bb76-d2312ad5dbf2%2Fa4f0c8d0-f4fe-4be7-b08e-f97e5af1661b%2Fgfjaeub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Topic 4: Assessment Form A Version 1
**Which statement is correct?**
Diagram:
The image includes two triangles that share some proportional relationships, indicated by congruence markings on their sides. The first triangle is labeled \( \triangle AGT \), with points \( A \), \( G \), \( T \). The second triangle is labeled \( \triangle QME \), with points \( Q \), \( M \), \( E \).
Each side of the triangles has markings that denote equal lengths for corresponding sides:
- \( \overline{AG} \) is marked to be equal to \( \overline{QM} \).
- \( \overline{GT} \) is marked to be equal to \( \overline{ME} \).
- \( \overline{TA} \) is marked in the same way as \( \overline{QG} \), indicating similarity or congruence.
**Options:**
A. \( \triangle AGT = \triangle QME \)
B. \( \triangle TAG = \triangle EMQ \)
C. \( \triangle GTA = \triangle QME \)
D. \( \triangle AGT = \triangle MEQ \)
To select the correct statement, determine which pair of triangles given in the options are indeed congruent based on the side markings in the diagram.
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