Triangle Congruence Proofs

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and a non-included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence where two sides and the included angle are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruence where two angles and the included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove congruence specifically for right triangles, where the hypotenuse and one leg are known.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property in geometry?

Back

Tags

CCSS.HSG.SRT.B.5

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and can lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

How can you prove two triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5