How can we help?

You can also find more resources in our Help Center.

Congruent Polygons have

Congruent corresponding angles

Congruent corresponding sides

Congruent corresponding sides

If two angles of one triangle are congruent to two angles of another triangle, then

the third angles are congruent.

triangle: GHF = (equal to) triangle: PQR by:

SSS

triangle: BCA = (equal to) triangle: FDE by:

SAS

triangle: HGB = (equal to) triangle: NKP by:

ASA

triangle: CDM = (equal to) triangle: XGT by:

AAS

What does CPCTC stand for?

Corresponding Parts of Congruent Triangles are Congruent

The legs of an isosceles triangle are

the congruent sides.

The base of an isosceles triangle is

the noncongruent side

The vertex angle of an isosceles triangle is

formed by the two congruent sides

The base angles of an isosceles triangle

have the base as a common side

Isosceles Triangle Theorem: If two sides of a triangle are congruent, then

the angles opposite those sides are congruent

Converse of Isosceles Triangle Theorem: If two angles of a triangle are congruent, then

the sides opposite the angles are congruent

The bisector of the vertex angle of an isosceles triangle is the

perpendicular bisector of the base

A corollary is

a statement that follows immediately from a theorem

If a triangle is equilateral, then

the triangle is equiangular

If a triangle is equiangular, then

the triangle is equilateral

The hypotenuse of a right triangle is

the side opposite the right angle and the longest side

The legs of a right triangle are

the sides that make up the right angle

triangle: PQR = (equal to) triangle: XYZ by:

HL