Theorem Thursday 5

Question 1

triangle sum theorem

Answer 1

the sum of the interior angles of a triangle is 180 degrees

Question 2

exterior angle theorem

Answer 2

the sum of the exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles

Question 3

corollary to the triangle sum theorem

Answer 3

the acute angles of a right triangle are complementary

Question 4

properties of angle congruence

Answer 4

REFLEXIVE:for any triangle, triangle ABC is congruent to triangle ABC
SYMMETRIC: if triangle ABC is congruent to triangle DEF then triangle DEF is congruent to triangle ABC
TRANSITIVE: if triangle ABC is congruent to triangle DEF and triangle DEF is congruent to triangle JKL then triangle ABC is congruent to triangle JKL

Question 5

Third Angles Theorem

Answer 5

if 2 angles of one triangle are congruent to 2 sides of another triangle then the third angles are also congruent

Question 6

Side-Angle-Side Congruence Theorem

Answer 6

if 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of a second triangle then the two triangles are congruent

Question 7

Base Angles Theorem

Answer 7

if 2 sides of a triangle are congruent then the angles opposite them are congruent

Question 8

converse of the base angles theorem

Answer 8

if 2 angles of a triangle are congruent then the sides opposite them are congruent

Question 9

corollary to the base angles theorem

Answer 9

if a triangle is equilateral then it is equiangular

Question 10

corollary to the converse of the base angles theorem

Answer 10

if a triangle is equiangular then it is equilateral

Question 11

Side-Side-Side Congruence Theorem SSS

Answer 11

If 3 sides of 1 triangle are congruent to 3 sides of a 2nd triangle then the 2 triangles are congruent

Question 12

Hypotenuse-Leg Congruence Theorem

Answer 12

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a 2nd right triangle then the 2 triangles are congruent

Question 13

Angle-Side-Angle Congruence Theorem ASA

Answer 13

if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then the 2 triangles are congruent

Question 14

Angle-Angle-Side Congruence Theorem

Answer 14

if two angles and a non included side of one triangle are congruent to two angles and the corresponding side of another triangle then the two triangles are congruent