Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the ASA postulate stand for?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove triangle congruence when two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate used to prove triangle congruence when two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangle congruence when 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 HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles when the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which allows for the application of congruence postulates and theorems.

Front

How can you prove two triangles are congruent using the SSS postulate?

Back

The SSS postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal and corresponding sides are equal.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

If triangle ABC ≅ triangle DEF, then AB = DE, AC = DF, BC = EF, and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.