Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If triangle ABC is congruent to triangle DEF, what can be said about the sides?

Back

AB = DE, BC = EF, AC = DF.

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, 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, the triangles are congruent.

Front

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

Back

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

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

What is the purpose of using congruence in geometry?

Back

To prove that two figures are identical in shape and size, which helps in solving problems involving measurements and properties.

Front

If triangle XYZ is congruent to triangle PQR, what can be said about their perimeters?

Back

The perimeters of triangle XYZ and triangle PQR are equal.