Geometry: Ch. 4 Theorems

Question 0

SSS Postulate

Answer 0

Side side side

Question 1

Theorem 4-1

Congruent Angles Theorem

Answer 1

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

Question 2

SAS Postulate

Answer 2

Side angle side

Question 3

Isosceles Triangle Theorem

Answer 3

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

Question 4

Corollary to the Isosceles Triangle Theorem

Answer 4

If a triangle is equilateral, then the triangle is equiangular

Question 5

Converse of the Isosceles Triangle Theorem

Answer 5

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

Question 6

Corollary to the Converse of the Isosceles Triangle Theorem

Answer 6

If a triangle is equilateral, then it is equiangular

Question 7

Theorem 4-5

Isosceles Bisector Theorem

Answer 7

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

Question 8

HL Theorem

Answer 8

Hypotenuse Leg Theorem