ASA vs. AAS

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side

Front

When can you use the ASA theorem?

Back

When two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

When can you use the AAS theorem?

Back

When two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the main difference between ASA and AAS?

Back

ASA requires the included side, while AAS does not.

Front

Can you prove triangle congruence using ASA?

Back

Yes, if two angles and the included side are known.

Front

Can you prove triangle congruence using AAS?

Back

Yes, if two angles and a non-included side are known.

Front

Provide an example of ASA in a triangle.

Back

If triangle ABC has angle A = 50°, angle B = 60°, and side AB = 5 cm, and triangle DEF has angle D = 50°, angle E = 60°, and side DE = 5 cm, then triangles ABC and DEF are congruent by ASA.

Front

Provide an example of AAS in a triangle.

Back

If triangle GHI has angle G = 30°, angle H = 70°, and side GH = 4 cm, and triangle JKL has angle J = 30°, angle K = 70°, and side JK = 4 cm, then triangles GHI and JKL are congruent by AAS.

Front

What is the significance of triangle congruence theorems?

Back

They help in proving that two triangles are identical in shape and size.