Segment + Angle Addition Properties

Question 1

Reflexive Property of Congruence

Answer 1

For any segment, (line) AB is congruent to (line) AB

Question 2

Symmetric Property of Congruence

Answer 2

If line AB is congruent to line CD then CD is congruent to AB.

Question 3

Transitive Property of Congruence

Answer 3

if AB is congruent to CD and CD is congruent to EF then AB is congruent to EF

Question 4

Definition of Congruence

Answer 4

If AB is congruent to CD then the measure of AB equals the measure of CD and vice versa.

Question 5

Definition of Midpoint

Answer 5

if m is the midpoint of ab, then am = mb

Question 6

defintion of angle bisector

Answer 6

an angle bisector divides an angke into two equal parts.

Question 7

defintiion of complementary angles.

Answer 7

complementary - sum is 90 dgerees and vice versa.

Question 8

definition of supplementary angles

Answer 8

supplementary - sum is 180 degrees and vice versa

Question 9

definition of perpendicular

Answer 9

perpendicular lines form right angles

Question 10

definition of a right angle

Answer 10

a right angle = 90 degrees

Question 11

angle addition postulate

Answer 11

mABD + mDBC = mABC

Question 12

vertical angles theorem

Answer 12

if two angles are vertical, they are congruent.

Question 13

complement theorem

Answer 13

right angle = complementary

Question 14

supplement theorem

Answer 14

linear pair = supplementary

Question 15

congruent complement theorem

Answer 15

is a is complementary to b and b is complementary to c, then a is congruent to c.

Question 16

congruent supplements theorem

Answer 16

if a is supplementary to b and c is supplementary to c then a is congruent to c.