Proofs

Question 1

AM=MB

Answer 1

Definition of Congruent

Question 2

AB=AM+MB
O–O——-O———O——–O———O
A M B D

Answer 2

Segment Addition Postulate

Question 3

Given that ∠1 and ∠2 are a linear pair, what is the reason that ∠1+∠2=180°?

Answer 3

Linear Pair Postulate

Question 4

Given that ∠ABC≅∠XYZ, why is m∠ABC=m∠XYZ?

Answer 4

Definition of Congruence?

Question 5

Given that ∠A≅∠M, why is ∠A−∠B≅∠M−∠B?

Answer 5

Commutative Property

Question 6

Given that point P is on JK¯¯¯¯¯¯¯¯ between points J and K, why is JP+PK=JK?

Answer 6

Segment Addition Postulate

Question 7

Given that point B is in the interior of ∠SLV , why is m∠SLB+m∠BLV=m∠SLV?

Answer 7

Angle Addition Postulate

Question 8

M <JKL = 90 degrees

Answer 8

Definition of right angle

Question 9

<1 and <2 are complemntary

Answer 9

Definition of complementary angles

Question 10

m< 2 = m<2

Answer 10

Reflexive Property of congruence

Question 11

O = OB, CO = OD
A
|
C——|—— D
|
O
|
B

Answer 11

Definition of Segment Biector

Question 12

m< EGF + m<ACD=180

Answer 12

Definition of Supplementary