Unit 3.3 Make Up Assignment

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

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

Back

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

Front

What is the ASA (Angle-Side-Angle) 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, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

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 HL (Hypotenuse-Leg) Congruence 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, then the triangles are congruent.

Front

What does 'corresponding parts' refer to in congruent triangles?

Back

Corresponding parts refer to the sides and angles of triangles that are in the same relative position.

Front

If ΔABC≅ΔXYZ, what can we conclude about side AB?

Back

AB is congruent to XY (AB≅XY).

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the significance of the congruence statement ΔDEC≅ΔBEA?

Back

It indicates that triangle DEC is congruent to triangle BEA, meaning all corresponding sides and angles are equal.