Math proofs Unt 1 Test

Question 1

if a=b, then a+c=b+c

Answer 1

addition property

Question 2

a=b then a-c=b-c

Answer 2

subtraction property

Question 3

For any segment AB, AB is congruent to AB

Answer 3

Reflexive property of Congruence

Question 4

If AB is congruent to CD then CD is congruent to AB

Answer 4

Symmetric property of congruence

Question 5

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

Answer 5

Transitive property of Congruence

Question 6

AM=MB

Answer 6

Definition of a midpoint

Question 7

AB+BC=AC

Answer 7

Segment addition Postulate

Question 8

Definition of Congruence

Answer 8

the measures of two angles are equal if and only if the angles are congruent. M<A=M,B means <A=<B

Question 9

Definition of a right angle

Answer 9

an angle measure is 90 degrees and only if it is a right angle (1 ANGLE!!)

M<A=90 degrees —>
<A is a right angle

Question 10

Definition of Complementary Angles

Answer 10

Two angles are supplementary if and only if the sum of their measures is 180 degrees

Complementary —-> SUM is 90 degrees

Question 11

Definition of Supplementary Angles

Answer 11

sum is equal to 180 degrees

Question 12

Definition of ANgle bisector

Answer 12

ang angle bisector divides an angle into two equal parts

Question 13

definition of perpendicular

Answer 13

perpendicular lines form right angles

Question 14

Angle addition Postulate

Answer 14

M<ABD+M<DBC=M<ABC

Question 15

vertical angle therom

Answer 15

if two angles are vertical then they are congruent

Question 16

complement theorem

Answer 16

if two angles form a right angle then there are complementary

Form a right angle–> Complementary

Question 17

Linear pair Theorem (Supplement Theorem)

Answer 17

if two angles form a linear pair, then they are supplementary.

Form a linear pair—> supplementary