Question

Complete the proof by filling in the missing reasons for six steps using the word wall answers from below the proof.

Given m<1=m<2
Prove AC BD
( They gave us the first word "given")

Answer 1

m∠1 = m∠2 Given

∠1 is supplementary to ∠2 If two angles form a linear pair,

they are supplementary

m∠1 + m∠2 = 180° Supplementary angles have sum 180°

m∠1 + m∠1 = 180° A quantity may be substituted

for its equal

2(m∠1) = 180° Definition of like terms

m∠1 = 90° Halves of equal quantities are

equal

∠1 is a right angle Definition of a right angle is one

whose measure is 90°

AB ⊥ ED Definition of perpendicular

lines.