Triangle Proofs

Front

What is a triangle proof?

Back

A triangle proof is a logical argument that demonstrates the congruence of two triangles using geometric principles and theorems.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that 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 theorem stating that 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 theorem stating that 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 is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AB = AB.

Front

What is the CPCTC Theorem?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which means that if two triangles are proven to be congruent, then their corresponding parts (sides and angles) are also 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 (vertical) angles are equal.

Tags

CCSS.HSG.CO.C.9

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that an angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

Tags

CCSS.HSG.CO.C.9

Front

What is the purpose of a paragraph proof?

Back

A paragraph proof is a written explanation that logically presents the steps and reasoning used to prove a geometric statement.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2