Chapter 4 Flashcards
Exterior Angle Theorem
The measure of an exterior angle is equal to the sum of the measures of the 2 remote interior angles
Congruent Polygons
polygons with congruent corresponding sides and congruent corresponding angles
Congruency Statement
statement showing corresponding angles and sides are congruent
Two polygons are congruent if and ONLY if their corresponding ____ and _____ are congruent
angles and sides
CPCTC
corresponding parts of corresponding triangles are congruent
Third Angle Theorem
If 2 angles of a triangle are congruent to two angles of another triangle, the 3rd angles are congruent
Isosceles Triangle Theorem
If two sides of a triangle are congruent, the angles opposite those sides are also congruent
Converse Isosceles Triangle Theorem
If 2 angles of a triangle are congruent, the sides opposite those angles are also congruent.
Included Angle
The angle formed by 2 adjacent sides of a polygon
Included side
Side formed by connecting 2 consecutive vertices
Side Side Side (SSS)
If 3 sides of a triangle are congruent to 3 sides of another triangle, the sides are congruent
Side Angle Side (SAS)
If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, they are congruentfw l
Triangle Angle-Sum Theorem
The sum of the measures of the angles of a triangle is 180 degrees
Angle Side Angle (ASA)
If two angles and the included side of one triangle is congruent to two angles and the included side of another, the triangles are congruent
Angle-Angle Side (AAS)
If 2 angles and a nonincluded side of one triangle are congruent to 2 angles and a nonincluded side of another, the triangles are congruent
Hypotenuse-Leg Congruence Theorem
If the hypotenuse and leg of one triangle are congruent to the hypotenuse and leg of another right triangle, they are congruent
