Chapter 4 Theorems and Postulates

Question 1

Triangle Angle Sum Theorem

Answer 1

The sum of the measures of the angles of a triangle is 180.

Question 2

Exterior Angle Theorem

Answer 2

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent (remote) interior angles.

Question 3

complementary

Answer 3

The acute angles of a right triangle are complementary.

Question 4

right or obtuse

Answer 4

There can be at most one ______________________ or ________________________ angle in a triangle.

Question 5

Third Angles Theorem

Answer 5

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

Question 6

SSS

Answer 6

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Question 7

SAS

Answer 7

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.

Question 8

ASA

Answer 8

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.

Question 9

AAS

Answer 9

If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent

Question 10

Isosceles Triangle Theorem

Answer 10

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.