Proving Triangles Congruent

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 SAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

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

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles congruent by showing that all three sides of one triangle are equal to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Tags

CCSS.HSG.SRT.A.2

Front

What is the importance of the included angle in SAS?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be proven congruent if only two sides are known?

Back

No, two triangles cannot be proven congruent with only two sides unless the included angle is also known (SAS).

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruence and similarity in triangles?

Back

All congruent triangles are similar, but not all similar triangles are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of triangles that are equal in measure when the triangles are congruent.

Tags

CCSS.8.G.A.2