D Given z BAD = ZBED, what can you conclude? A) AE = DE B) BD is the perpendicular bisector of AC C) A ABE is isosceles D) A ABC is isosceles

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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**Geometry Problem**

**Diagram Explanation:**
The diagram shows a triangle \( \triangle ABC \) with a point \( D \) on \( AC \) and a point \( E \) on \( AC \). Lines \( BD \) and \( BE \) are drawn from point \( B \) to points \( D \) and \( E \).

**Problem Statement:**
Given \( \angle BAD \equiv \angle BED \), what can you conclude?

**Options:**

A) \( AE \equiv DE \)

B) \( BD \) is the perpendicular bisector of \( AC \)

C) \( \triangle ABE \) is isosceles

D) \( \triangle ABC \) is isosceles

---

This exercise assesses your understanding of geometric properties and congruence. Consider the information provided and analyze the relationships between the angles and segments to determine the correct conclusion.
Transcribed Image Text:**Geometry Problem** **Diagram Explanation:** The diagram shows a triangle \( \triangle ABC \) with a point \( D \) on \( AC \) and a point \( E \) on \( AC \). Lines \( BD \) and \( BE \) are drawn from point \( B \) to points \( D \) and \( E \). **Problem Statement:** Given \( \angle BAD \equiv \angle BED \), what can you conclude? **Options:** A) \( AE \equiv DE \) B) \( BD \) is the perpendicular bisector of \( AC \) C) \( \triangle ABE \) is isosceles D) \( \triangle ABC \) is isosceles --- This exercise assesses your understanding of geometric properties and congruence. Consider the information provided and analyze the relationships between the angles and segments to determine the correct conclusion.
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