Ch. 4

STUDY
PLAY
Congruent Polygons have
Congruent corresponding angles
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