Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if 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 that states 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 does ASA stand for in triangle congruence?

Back

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

Front

If ΔDEF ≅ ΔRST, what can we conclude about the lengths of DE and RS?

Back

DE = RS, because congruent triangles have corresponding sides that are equal.

Front

If ∆LMK ≅ ∆LMT, what can we conclude about the angles ∠K and ∠T?

Back

∠K ≅ ∠T, because congruent triangles have corresponding angles that are equal.

Front

What is the definition of congruent triangles?

Back

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

Front

What values for x and y make ΔCAT ≅ ΔDOG if x = 6 and y = 7?

Back

The values x = 6 and y = 7 make ΔCAT ≅ ΔDOG, indicating that the triangles are congruent.

Front

How do you find the value of x in triangle problems?

Back

To find the value of x in triangle problems, use the properties of congruence and the relationships between angles and sides.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the relationship between corresponding angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal in measure.