Corresponding Parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are angles and sides that are in the same relative position in each triangle.

Front

If ΔABC ≅ ΔDEF, what can we say about ∠A and ∠D?

Back

∠A ≅ ∠D (they are congruent angles).

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

If two triangles are congruent, what can be said about their corresponding sides?

Back

Their corresponding sides are equal in length.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states that 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

If PR = 2x + 6 and JL = 10, and ΔPQR ≅ ΔLJK, what is the value of x if PR = JL?

Back

x = 2.

Front

What does the notation ΔLMK ≅ ΔLMT indicate?

Back

It indicates that triangle LMK is congruent to triangle LMT.

Front

If ∠K ≅ ∠T in congruent triangles, what can we conclude about their measures?

Back

The measures of ∠K and ∠T are equal.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that 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

If ΔABC ≅ ΔXYZ, what can we say about side AB and side XY?

Back

AB ≅ XY (they are congruent sides).