Intro to 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, which means their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'.

Front

If \\Delta DEF \\cong \\Delta XYZ, what can be inferred about the angles and sides of these triangles?

Back

The corresponding angles and sides of \\Delta DEF and \\Delta XYZ are equal.

Front

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

Back

The ASA 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 two triangles are congruent.

Front

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

Back

The SAS 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 two triangles are congruent.

Front

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

Back

The SSS postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

How can you determine the angle opposite a given side in a triangle?

Back

The angle opposite a given side in a triangle can be determined by identifying the vertex that is not part of the side.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

If \\angle F \\cong \\angle Z, what can be inferred about triangles that are congruent?

Back

If \\angle F \\cong \\angle Z, then these angles are equal in measure in the congruent triangles.