Which statement is correct? G M E T Q A. AAGT AQME B. ATAG = AEMQ C. AGTA = AQME D. AAGT = AMEQ

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.
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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