Corresponding Parts of Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the significance of the order of vertices in triangle congruence?

Back

The order of vertices matters because it indicates which angles and sides correspond to each other in congruent triangles.

Front

If ∆ABC ≅ ∆DEF, what can we say about the corresponding angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the corresponding side to AB in triangle ∆ABC if ∆ABC ≅ ∆DEF?

Back

The corresponding side to AB is DE.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three pairs of corresponding sides are equal in length, the triangles are congruent.

Front

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

Back

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

Front

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

Back

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

Front

What is the Side-Side-Side (SSS) congruence criterion?

Back

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

Front

If ∆XYZ ≅ ∆KLM, what is the corresponding angle to ∠Y?

Back

∠Y corresponds to ∠L.

Front

What does the notation ∆LMK ≅ ∆LMT indicate?

Back

It indicates that triangle LMK is congruent to triangle LMT, meaning all corresponding sides and angles are equal.