Congruent triangles Flashcard

Front

What does CPCTC stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that if a point lies on the bisector of an angle, it is equidistant from the two sides of the angle.

Tags

CCSS.HSG.CO.C.9

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side,' a postulate that states if two sides and the included angle of one triangle are congruent 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 postulate that states if two angles and the included side of one triangle are congruent 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 postulate that states if two angles and a non-included side of one triangle are congruent 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 does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

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 are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are congruent.

Tags

CCSS.8.G.A.5

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. This property is often used in proofs to show relationships between congruent figures.