Chapter 4 Congrunet Polygons

Question 1

Exterior Angle Theorem

Answer 1

The measure of an exterior angle of a triangle is equal to the measures of the two non adjacent interior angles

Question 2

Third angles theorem

Answer 2

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

Question 3

Side-side-side congruence postulate

Answer 3

If three sides of one triangle are congruent to three sides of a second triangle, the triangles are congruent

Question 4

Definition of congruent polygons

Answer 4

If corresponding parts are congruent, than the polygons are congruent

Question 5

CPCTC

Answer 5

Corresponding parts of congruent triangles/polygons are congruent

Question 6

Side angle side (SAS) congruence postulate

Answer 6

If two sides and the included angle of two triangles are congruent, then the triangles are congruent

Question 7

Hypotenuse leg congruence theorem, (HL)

Answer 7

If the hypotenuse and legs of two right triangles are congruent, then the triangles are congruent

Question 8

Angle side angle congruence postulate

Answer 8

If two angles and the included side of two triangles are congruent, then the triangles are congruent

Question 9

Angle angle side congruence theorem

Answer 9

If two angles and a non included side of two triangles are congruent, then the triangles are congruent

Question 10

Base angles theorem

Answer 10

If two sides of a triangle are congruent my the angles opposite them are congruent

Question 11

Converse to the Base Angles Theorem

Answer 11

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

Question 12

Equiangular and equilateral triangle theorem

Answer 12

If a triangle in equiangular, then it is equilateral

If a triangle is equilateral, then it is equiangular