Triangle Proofs

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 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 theorem that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then 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 the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS theorem in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is NOT a valid test for triangle congruence because it can lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

What is the purpose of triangle proofs?

Back

Triangle proofs are used to demonstrate the congruence of triangles using logical reasoning and established theorems.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

How can you prove two triangles are congruent using the SSS theorem?

Back

To prove two triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS allows for the non-included side to be known.