Question

Geometry; two column proof

Answer 1

Answer:

1) Given

2) Definition of Midpoint

4) Substitution PoE

5) 4x=16

6) Divison PoE

Step-by-step explanation:

1) is given because it is given.

2) Should be definition of midpoint because a midpoint bisects a line, meaning both sides are congruent.

4) is substitution because, like aforementioned, AC=6x and CD=2x+16, so substitute those numbers in the equation.

5) is 4x=16 because that's what happens when you subtract 6x-2x.

6) should be division PoE because to isolate x you need to divide by 4.