4.4 Congruent Triangles Warm-Up

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

Back

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

Front

What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that any geometric figure is congruent to itself, which is used to establish congruence in triangles.

Front

What are the three main criteria for triangle congruence?

Back

The three main criteria are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA).

Front

Explain the Side-Angle-Side (SAS) congruence criterion.

Back

The SAS criterion 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 triangles are congruent.

Front

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

Back

The ASA 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

Define the term 'corresponding parts' in the context of congruent triangles.

Back

Corresponding parts refer to the sides and angles of congruent triangles that match each other in position and measure.

Front

What is the purpose of using congruence statements in geometry?

Back

Congruence statements are used to clearly indicate which parts of triangles are equal, facilitating the proof of triangle congruence.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

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