Congruent Triangle Proofs

Front

What is the Reflexive Property in geometry?

Back

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS Congruence stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS Congruence stand for?

Back

SAS Congruence stands for 'Side-Angle-Side' Congruence, which states that 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 Congruence stand for?

Back

ASA Congruence stands for 'Angle-Side-Angle' Congruence, which states that 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 Congruence stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does HL Congruence stand for?

Back

HL Congruence stands for 'Hypotenuse-Leg' Congruence, which applies to right triangles. It states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used to prove that corresponding sides and angles of congruent triangles are also congruent.

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 are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Tags

CCSS.7.G.B.5

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2