Postulates & Theorems - chapter 4

Question 1

TRIANGLE SUM THEOREM: The sum of the angle measures of a triangle is ….

Answer 1

180 degrees. (theo. 4-3-1)

Question 2

The acute angles of a right triangle are ….

Answer 2

complementary. (cor. 4-3-2)

Question 3

The measure of each angle of an equiangular triangle is ….

Answer 3

60 degrees. (cor. 4-3-3)

Question 4

EXTERIOR ANGLE THEOREM: The measure of an exterior angle of a triangle is equal to ….

Answer 4

the sum of the measures of its remote interior angles. (theo. 4-3-4)

Question 5

THIRD ANGLES THEOREM: If 2 angles of one triangle are congruent to 2 angles of another triangle, then ….

Answer 5

the third pair of angles are congruent. (theo. 4-3-5)

Question 6

SIDE-SIDE-SIDE (SSS) CONGRUENCE POSTULATE: If 3 sides of one triangle are congruent to 3 sides of another triangle, then ….

Answer 6

the triangles are congruent. (post. 4-5-1)

Question 7

SIDE-ANGLE-SIDE (SAS) CONGRUENCE POSTULATE: If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then ….

Answer 7

the triangles are congruent. (post. 4-5-2)

Question 8

ANGLE-SIDE-ANGLE (ASA) CONGRUENCE POSTULATE: If 2 angles and the included side of one triangle are congruent to 2 angles and the included aside of another triangle, then ….

Answer 8

the triangles are congruent. (post. 4-6-1)

Question 9

ANGLE-ANGLE-SIDE (AAS) CONGRUENCE THEOREM: If 2 angles and a nonincluded side of one triangle are congruent to 2 angles and a nonincluded side of another triangle, then ….

Answer 9

the triangles are congruent. (theo. 4-6-2)

Question 10

HYPOTENUSE-LEG (HL) CONGRUENCE THEOREM: If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then ….

Answer 10

the triangles are congruent. (theo. 4-6-3)

Question 11

ISOSCELES TRIANGLE THEOREM: If 2 sides of a triangle are congruent, then ….

Answer 11

the angles opposite those sides are congruent. (theo. 4-9-1)

Question 12

CONVERSE OF THE ISOSCELES TRIANGLE THEOREM: If 2 angles of a triangle are congruent, then ….

Answer 12

the sides opposite those angles are congruent. (theo. 4-9-2)

Question 13

If a triangle is equilateral, then it is ….

Answer 13

equiangular. (cor. 4-9-3)

Question 14

If a triangle is equiangular, then it is ….

Answer 14

equilateral. (cor. 4-9-4)