The property that says if you have a(b+c), then it will equal ab+ac.

If the point B lies between AC then AB + BC = AC, according to what?

<1≅<2 so <1=<2

1. 4x=40
2. 4x/4=40/4
How did I get from Step 1 to Step 2?

All right angles are this, according to Theorem 2.10

When you add the same number to both sides of an equation.

AB≅CD so AB=CD is an example of

If two angles add up to 180 and form a linear pair then they are supplementary

Perpendicular lines intersect to form four of these, according to Theorem 2.9

When you subtract the same number from both sides of an equation.

A ≅ A is an example of

Vertical Angles are congruent according to what theorem.

1. B is the midpoint of AC Given
2. AB = BC ?
What is the reason for Step 2

If two angles are right angles and congruent then they are also this, according to Theorem 2.12

When you multiply both sides of an equation by the same number.

AB≅CD so CD≅AB

If two angles add up to 90 and form a right angle then they are complementary

<1 and < 2 are supplementary Given
<1 + <2 = 180 ?
How do I get from Step 1 to Step 2?

According to Theorem 2.13 two congruent, right, supplementary angles are also a what?

When you divide both sides of an equation by the same number

AB≅CD and CD≅EF so AB≅EF is this property

D is in the interior of angle ABC
So ABD + DBC = ABC

1. 4x-2+2 = 6+2 Addition Property of Equality
2. 4x = 8 ?
How do I get from Step 1 to Step 2

Perpendicular lines form angles that are congruent, right, supplementary, a linear pair and this, according to Theorem 2.11