Use the diagram below to answer the following questions: What additional piece of information do you need to prove the triangles are congruent? A. CA DF B. ZB ZE C. BA EF D. BC ED Based on the question above, name the Congruence Postulate that can be used to prove the two triangles are congruent. AABC AFED by the | Congruence Postulate.

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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The content appears on an educational website as part of a geometry lesson focused on congruent triangles. 

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**Practice: CRM 2.1 - Lesson 11**

**Use the diagram below to answer the following questions:**

The diagram displays two triangles. Triangle \( \triangle ABC \) with points \( A, B, \) and \( C \), and triangle \( \triangle FED \) with points \( F, E, \) and \( D \). The sides \( BC \) and \( ED \) are marked to indicate they are equal in length.

**What additional piece of information do you need to prove the triangles are congruent?**

Choices:
- **A. \( \overline{CA} \cong \overline{DF} \)**
- **B. \( \angle B \cong \angle E \)**
- **C. \( \overline{BA} \cong \overline{EF} \)**
- **D. \( \overline{BC} \cong \overline{ED} \)**

**Based on the question above, name the Congruence Postulate that can be used to prove the two triangles are congruent.**

\( \triangle ABC \cong \triangle FED \) by the \( \_\_\_\_\_\_\_ \) Congruence Postulate.

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This exercise asks students to determine the necessary condition for proving the congruence of two triangles and to identify the specific congruence postulate applicable.
Transcribed Image Text:The content appears on an educational website as part of a geometry lesson focused on congruent triangles. --- **Practice: CRM 2.1 - Lesson 11** **Use the diagram below to answer the following questions:** The diagram displays two triangles. Triangle \( \triangle ABC \) with points \( A, B, \) and \( C \), and triangle \( \triangle FED \) with points \( F, E, \) and \( D \). The sides \( BC \) and \( ED \) are marked to indicate they are equal in length. **What additional piece of information do you need to prove the triangles are congruent?** Choices: - **A. \( \overline{CA} \cong \overline{DF} \)** - **B. \( \angle B \cong \angle E \)** - **C. \( \overline{BA} \cong \overline{EF} \)** - **D. \( \overline{BC} \cong \overline{ED} \)** **Based on the question above, name the Congruence Postulate that can be used to prove the two triangles are congruent.** \( \triangle ABC \cong \triangle FED \) by the \( \_\_\_\_\_\_\_ \) Congruence Postulate. --- This exercise asks students to determine the necessary condition for proving the congruence of two triangles and to identify the specific congruence postulate applicable.
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