SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the two 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 theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

Tags

CCSS.HSG.CO.C.9

Front

What is the Linear Pair Theorem?

Back

The Linear Pair Theorem states that if two angles form a linear pair, they are supplementary, meaning their measures add up to 180 degrees.

Tags

CCSS.7.G.B.5

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, you must show that all three corresponding sides of the triangles are equal in length.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, you must show that two sides and the angle between them in one triangle are equal to the corresponding two sides and angle in the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to use SAS for triangle congruence?

Back

To use SAS for triangle congruence, you need to know the lengths of two sides and the measure of the included angle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, which allows for the transfer of properties and measurements between them.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent angles?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent segments?

Back

Congruent segments are line segments that have the same length.

Tags

CCSS.8.G.A.2