Congruent Triangles and Their Properties

Front

What are congruent triangles?

Back

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

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the Side-Side-Side (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 Angle-Side-Angle (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

What is the Side-Angle-Side (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 Angle-Angle (AA) Similarity Postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (not necessarily congruent).

Front

If ∆LMK ≅ ∆LMT, what can we say about the corresponding sides?

Back

LM = LM, MK = MT, LK = LT.

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) 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

What does it mean for angles to be corresponding in congruent triangles?

Back

Corresponding angles are the angles in the same relative position in two different triangles.

Front

If ∆PIG ≅ ∆COW, what is the relationship between the sides PI and CO?

Back

PI = CO.