Definition of supplementary angles Correct Ans-<1 and <2 are supplementary angles.
m<1 + m<2 = 180
Definition of linear pairs Correct Ans-<1 and <2 are adjacent angles and their noncommon
sides are opposite rays.
Right angle congruence theorem Correct Ans-<1 is a right angle. <2 is a right angle.
<1 = <2 (congruent)
Congruent compliments theorem Correct Ans-<1 and <3 are complementary to <2.
<1 = <3 (congruent)
Congruent supplements theorem Correct Ans-<1 and <3 are supplementary to <2.
<1 = <3 (congruent)
Linear pair theorem Correct Ans-<1 and <2 are a linear pair.
m<1 + m<2 = 180
Vertical angle theorem Correct Ans-<1 and <3 are vertical angles.
<1 = <3 (congruent)
, Geometry Statements and Reasons- Test with Solutions
Definition of perpendicular lines Correct Ans-Line L is perpendicular to line M. (L [upside
down T] M)
<1 is a right angle.
Definition of a Midpoint Correct Ans-M is the midpoint of AB
AM = BM (congruent)
Segment addition postulate Correct Ans-AB+BC=AC
Angle addition postulate Correct Ans-m<PQR+m<RQT = m<PQT
Definition of angle bisector Correct Ans-BT bisects <ABC.
<ABT = <CBT (congruent)
Definition of a straight angle Correct Ans-<A is a straight angle.
m<A = 180
Definition of a right angle Correct Ans-<1 is a right angle.
<1 = 90