Triangle Congruent Statements and Congruent Parts

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle, meaning all corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

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

Back

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

Front

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

Back

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

Front

What does it mean for angles to be congruent?

Back

It means that the angles have the same measure.

Front

If ∠A ≅ ∠M, what can we say about their measures?

Back

The measure of ∠A is equal to the measure of ∠M.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

All corresponding parts (sides and angles) of congruent triangles are congruent.

Front

If ∆EHG ≅ ∆KFC, what can we conclude about ∠E and ∠K?

Back

∠E ≅ ∠K.