Congruent Triangles

Front

What are 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 are congruent if 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 are congruent if 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 are congruent if two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if they have the same angles but different side lengths?

Back

No, triangles with the same angles must also have the same side lengths to be congruent.

Tags

CCSS.8.G.A.2

Front

True or False: All corresponding angles in congruent triangles are congruent.

Back

True.

Tags

CCSS.HSG.CO.B.7

Front

If two triangles are congruent by SAS, what does that imply about their sides and angles?

Back

It implies that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in the SAS congruence criterion?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between SSA and congruence?

Back

SSA (Side-Side-Angle) does not guarantee congruence; two triangles can have the same two sides and a non-included angle but still be different.

Tags

CCSS.8.G.A.2