#5.3, 5.5, 5.6 Proving Triangles Congruent

Front

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

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) 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 two triangles are congruent.

Front

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

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 two triangles are congruent.

Front

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

Back

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

Front

How can you determine if two triangles are congruent using the SAS theorem?

Back

Check if two sides and the angle between them in one triangle are equal to the corresponding two sides and the included angle in the other triangle.

Front

What information is needed to use the AAS theorem?

Back

You need two angles and a non-included side of one triangle to be equal to two angles and the corresponding non-included side of another triangle.

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

Can you prove triangles congruent with only two sides?

Back

No, you need additional information, such as an included angle or another side, to prove congruence.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles, while AAS has a non-included side.

Front

If two triangles have two equal angles, what can you conclude about their sides?

Back

The sides opposite those angles are proportional, but the triangles are not necessarily congruent without additional information.