ZB LE AC DF BC EF Which statement is true?

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
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## Congruence of Triangles ABC and DEF

Gloria has the following information about triangle ABC and triangle DEF:

- \( \angle LB \cong \angle LE \)
- \( \frac{AC}{DF} \cong \frac{BC}{EF} \)

### Which statement is true?

- \( \circ \) Triangle ABC is congruent to triangle DEF by the Side-Side-Side triangle congruence theorem.
- \( \circ \) Triangle ABC is congruent to triangle DEF by the Side-Angle-Side triangle congruence theorem.
- \( \circ \) Triangle ABC is congruent to triangle DEF by the Angle-Side-Angle triangle congruence theorem.
- \( \circ \) There is not enough information to prove that triangle ABC is congruent to triangle DEF.

Choose the correct statement based on the given information about triangles ABC and DEF.
Transcribed Image Text:## Congruence of Triangles ABC and DEF Gloria has the following information about triangle ABC and triangle DEF: - \( \angle LB \cong \angle LE \) - \( \frac{AC}{DF} \cong \frac{BC}{EF} \) ### Which statement is true? - \( \circ \) Triangle ABC is congruent to triangle DEF by the Side-Side-Side triangle congruence theorem. - \( \circ \) Triangle ABC is congruent to triangle DEF by the Side-Angle-Side triangle congruence theorem. - \( \circ \) Triangle ABC is congruent to triangle DEF by the Angle-Side-Angle triangle congruence theorem. - \( \circ \) There is not enough information to prove that triangle ABC is congruent to triangle DEF. Choose the correct statement based on the given information about triangles ABC and DEF.
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