4.3 Congruent Triangles HW

Front

What is the definition of congruent triangles?

Back

Congruent triangles are 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 between two triangles?

Back

The symbol used to denote congruence between two triangles is '≅'.

Front

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

Back

The SSS congruence criterion 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 criterion?

Back

The ASA congruence criterion 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 Angle-Angle-Side (AAS) congruence criterion?

Back

The AAS congruence criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) congruence criterion for right triangles?

Back

The HL congruence criterion states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How do you find the measure of an angle in a congruent triangle?

Back

To find the measure of an angle in a congruent triangle, use the corresponding angle from the congruent triangle, as corresponding angles are equal.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If triangle MTW is congruent to triangle BGK, what can be inferred about their angles?

Back

If triangle MTW is congruent to triangle BGK, then their corresponding angles are also equal.

Front

What does it mean if two triangles are similar but not congruent?

Back

If two triangles are similar but not congruent, it means they have the same shape but not necessarily the same size; their corresponding angles are equal, but their corresponding sides are in proportion.