ASA and AAS Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What is the definition of bisect?

Back

To bisect means to divide something into two equal parts. In geometry, a bisector divides an angle or a segment into two equal angles or segments.

Front

What is the definition of midpoint?

Back

The midpoint of a segment is the point that divides the segment into two equal parts.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

How can you prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove triangles are congruent using AAS?

Back

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

Front

What is the importance of congruence in geometry?

Back

Congruence in geometry is important because it allows us to determine that two figures are identical in shape and size, which is essential for solving problems involving measurements and constructions.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also congruent.