Congruent Statements Practice

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 their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence in geometry?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC≅∆XYZ, what can be inferred about the corresponding sides and angles?

Back

If ∆ABC≅∆XYZ, then AB≅XY, BC≅YZ, AC≅XZ and ∠A≅∠X, ∠B≅∠Y, ∠C≅∠Z.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

The SSS Congruence Postulate states that 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

The ASA Congruence Postulate 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

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Congruence Postulate 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

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

Back

The AA Similarity Postulate states that 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 can you determine the length of a side in a congruent triangle?

Back

You can determine the length of a side in a congruent triangle by using the corresponding sides of the congruent triangle, as they are equal.

Front

What is the significance of the statement ∆EHG≅∆KFC?

Back

The statement ∆EHG≅∆KFC indicates that the two triangles EHG and KFC are congruent, meaning their corresponding sides and angles are equal.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.