Congruent Triangles

Front

What is the Angle-Angle-Angle (AAA) criterion for triangle congruence?

Back

AAA is not a valid criterion for proving triangles congruent because it only shows that triangles are similar, not congruent.

Tags

CCSS.8.G.A.2

Front

List the valid criteria for proving triangles congruent.

Back

The valid criteria are ASA (Angle-Side-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side). AAA is not valid.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC≅∆XYZ, what can be concluded about the sides AB and XY?

Back

AB≅XY.

Tags

CCSS.8.G.A.2

Front

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

Back

You need to know the measure of the angle between the two sides.

Tags

CCSS.HSG.SRT.B.5

Front

Can triangles be congruent if they are proven using AAA?

Back

No, triangles cannot be proven congruent using AAA.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means 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 SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means 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 is the relationship between congruent triangles?

Back

Congruent triangles have exactly the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal angles, what can be said about their sides?

Back

The triangles are similar, but not necessarily congruent unless the third side is also equal.

Tags

CCSS.HSG.CO.B.7