Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does the symbol '≅' represent?

Back

It represents that two figures are congruent.

Front

What is the SSS Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

How can you determine if two triangles are congruent?

Back

By using congruence postulates: SSS, SAS, ASA, AAS, or HL.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL Congruence Theorem?

Back

If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

If ∠A ≅ ∠M, what can we say about triangles that include these angles?

Back

The triangles are congruent if the corresponding sides are also equal.

Front

What is the relationship between similar and congruent triangles?

Back

Congruent triangles are a specific type of similar triangles where the corresponding sides are equal in length.