Chapter 4

Question 1

3rd Angles Theorem

Answer 1

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

Question 2

SSS Postulate

Answer 2

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

Question 3

SAS Postulate

Answer 3

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Question 4

ASA Postulate

Answer 4

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Question 5

AAS Theorem

Answer 5

If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Question 6

Isosceles Triangle Theorem

Answer 6

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

Question 7

Converse of Isosceles Triangle Theorem

Answer 7

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

Question 8

Vertex Angle Bisector Theorem

Answer 8

The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.

Question 9

Corollary to The Isosceles Triangle Theorem

Answer 9

If a triangle is equilateral, then the triangle is equiangular

Question 10

Corollary to the Converse of the Isosceles Triangle Theorem

Answer 10

If a triangle is equiangular, then the triangle is equilateral.

Question 11

Hypotenuse-Leg (HL) Theorem

Answer 11

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.