Proving Triangles Congruent

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles congruent by showing two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles congruent by showing two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

Front

What is the significance of the SAS rule in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles congruent by showing two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Front

Can AAA be used to prove triangles congruent?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangles congruent because it does not provide information about the size of the triangles.

Front

What is the missing information needed to prove triangles congruent using SAS?

Back

To use SAS, you need to know the included angle between the two sides.

Front

What is the missing information needed to prove triangles congruent using AAS?

Back

To use AAS, you need to know one side that is not included between the two angles.

Front

How many angles and sides are needed to prove triangles congruent using SSS?

Back

You need to know all three sides of one triangle are congruent to all three sides of another triangle.

Front

What is the definition of the SSS rule in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles congruent by showing all three sides of one triangle are congruent to the corresponding sides of another triangle.

Front

What does it mean if two triangles are similar?

Back

Similar triangles have the same shape but not necessarily the same size; their corresponding angles are equal, and their corresponding sides are in proportion.