HW 6.5 Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size, meaning they can be superimposed on each other.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent.

Front

If ∆ABC≅∆XYZ, what can we say about their corresponding sides?

Back

The corresponding sides of the triangles are equal in length: AB≅XY, BC≅YZ, AC≅XZ.

Front

What are corresponding angles in congruent triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles.

Front

How do you write a congruence statement for triangles?

Back

A congruence statement lists the corresponding vertices of the triangles in order, such as ∆ABC≅∆XYZ.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

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 Angle-Side-Angle (ASA) criterion for triangle congruence?

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 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.