Congruent Triangles

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means 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 sides and angles?

Back

AB=XY, BC=YZ, CA=ZX and ∠A=∠X, ∠B=∠Y, ∠C=∠Z.

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, but not necessarily congruent.

Front

How do you write a congruence statement for triangles?

Back

List the vertices of the triangles in corresponding order, such as ∆ABC≅∆XYZ.

Front

What is the importance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which helps in proving triangles are congruent.

Front

If ∆EHG≅∆KFC, what can we say about the lengths of EH and FK?

Back

EH is not necessarily equal to FK; only EG is equal to KC.