Triangle Congruence Review

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a postulate that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', a theorem that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the 'Given' statement in a proof?

Back

The 'Given' statement is the starting point of a proof, providing the initial information or conditions that are accepted as true.

Front

What is a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Tags

CCSS.HSG.CO.A.1

Front

What is the AAA postulate?

Back

AAA stands for 'Angle-Angle-Angle', which is not a valid postulate for triangle congruence because it does not guarantee that the triangles are congruent in size.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

To determine if two triangles are congruent using the SSS postulate, measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

Tags

CCSS.8.G.A.2