I.
1. Given: $\frac{2x - 9}{5} = 1$
2. Multiply both sides by 5: $2x - 9 = 5$
3. Add 9 to both sides: $2x = 14$
4. Divide both sides by 2: $x = 7$
II.
1. Given: AC = BD
2. Segment Addition Postulate: AC = AB + BC; BD = BC + CD
3. Substitute: AB + BC = BC + CD
4. Subtract BC from both sides: AB = CD
III.
1. Given: m∠1 = m∠2; m∠3 = m∠4
2. Add the equations: m∠1 + m∠3 = m∠2 + m∠4
3. Angle Addition Postulate: m∠1 + m∠3 = m∠ABC; m∠2 + m∠4 = m∠DEF
4. Substitute: m∠ABC = m∠DEF
Parent Tip: Review the logic above to help your child master the concept of geometry worksheet beginning proofs answers.