Theorems Chap. 4

Front 1

Theorem 4-1

Back 1

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

Front 2

Theorem 4-2

Back 2

If two angles are congruent, then the sides opposite those are congruent

Front 3

Theorem 4-3 AAS

Back 3

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

Front 4

Theorem 4-4 HL

Back 4

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

Front 5

Theorem 4-5

Back 5

If a point lies on the perpendicular bisector of a segment then the point is equidistant from the endpoints of the segment

Front 6

Theorem 4-6

Back 6

If a point is equidistant from the end points of a segment , then the point lies on the perpendicular bisector of the segment

Front 7

Theorem 4-7

Back 7

If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle

Front 8

Theorem 4-8

Back 8

If a point is equidistant from the sides of an angle, then the point lies on the bisector of an angle

Front 9

Corollary 4-1

Back 9

An equilateral triangle is also equiangular

Front 10

Corollary 4-2

Back 10

An equiangular triangle has three 60 degree angles

Front 11

Corollary 4-3

Back 11

The bisector of the vertex angle of Isoceles triangle is perpendicular to the base at it midpoint

Front 12

Corollary 4-4

Back 12

An equiangular triangle is also equilateral