If BD bisects AC and AC bisects BD, is △ABE = △CDE? Explain.

A. Yes; the triangles are congruent by the Side-Angle-Side Congruence Theorem.
B. Yes; the triangles are congruent by the Side-Side-Side Congruence Theorem.
C. Yes; the triangles are congruent by the Angle-Angle-Side Congruence Theorem.
D. No; the triangles are not congruent.

Question

09-04-2025
Mathematics

High School

Thank you for visiting If BD bisects AC and AC bisects BD is ABE CDE Explain A Yes the triangles are congruent by the Side Angle Side Congruence Theorem. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

If BD bisects AC and AC bisects BD, is △ABE = △CDE? Explain.

A. Yes; the triangles are congruent by the Side-Angle-Side Congruence Theorem.
B. Yes; the triangles are congruent by the Side-Side-Side Congruence Theorem.
C. Yes; the triangles are congruent by the Angle-Angle-Side Congruence Theorem.
D. No; the triangles are not congruent.

Answer :

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prakasht3400 prakasht3400 · Answer 1 · 2024-08-03T21:59:48-04:00

Final answer:

The question does not provide enough context or a figure for an accurate determination of triangle congruence; therefore, without additional information, a conclusion cannot be reached.ABE and CDE D.

Explanation:

The question seems to be about determining whether two triangles are congruent based on given information. Since there is no sufficient context to define triangles ABE and CDE within the provided text, it's not possible to decide which congruence theorem applies.

Typically, for triangles to be congruent by the Side-Angle-Side (SAS) Congruence Theorem, we need two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle. The Side-Side-Side (SSS) Congruence Theorem requires all three corresponding sides of two triangles to be congruent.

The Angle-Angle-Side (AAS) Congruence Theorem requires two angles and a non-included side of one triangle to be congruent to two angles and the corresponding non-included side of another triangle. Without concrete details or a provided figure of the triangles in question, stating triangle congruence based on the bisecting properties alone is incomplete, and option D might be considered correct with the present information. To accurately answer the question, a clear definition of points A, B, C, D, and E is necessary, along with the specific conditions that apply to △ABE and △CDE.