Congruent Triangle Proofs

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles congruent by showing two angles and the included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles congruent by showing two angles and a non-included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles congruent by showing two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS criterion for triangle congruence?

Back

Side-Side-Side: A method to prove triangles congruent by showing all three corresponding sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared; it must be equal for the triangles to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent by SSS?

Back

The lengths of all three corresponding sides must be known.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent by SAS?

Back

The lengths of two sides and the measure of the included angle must be known.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be proven congruent if only one angle and one side are known?

Back

No, additional information is required to establish congruence.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal in length and measure.

Tags

CCSS.8.G.A.2