Proving Triangles Congruent

Proving Triangles Congruent

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

2.

FLASHCARD QUESTION

Front

What is the SAS theorem in triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

3.

FLASHCARD QUESTION

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

4.

FLASHCARD QUESTION

Front

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can be used to establish congruence in triangles when applying the ASA or AAS theorems.

5.

FLASHCARD QUESTION

Front

Which triangle congruence theorem is not valid?

Back

SSA (Side-Side-Angle) is not a valid triangle congruence theorem because it does not guarantee that two triangles are congruent.

6.

FLASHCARD QUESTION

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

7.

FLASHCARD QUESTION

Front

How can you prove triangles are congruent using the AAS theorem?

Back

To prove triangles are congruent using AAS, you need to show that two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

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