A. Given: ∠1 and ∠2 are complementary
From: m∠1 + m∠2 = 90°
Statements
1. ∠1 and ∠2 are complementary
2. m∠1 + m∠2 = 90°
3. m∠2 = 90° - m∠1
4. m∠2 = (90° - m∠1) + m∠3 - m∠3
5. m∠2 = (90° + m∠3) - (m∠1 + m∠3)
6. m∠2 = 90° + m∠3 - 90°
7. m∠2 = m∠3
B. Given: AC = AB
From: AB + BC = AC
Statements
1. AC = AB
2. AB + BC = AC
3. AC + BC = AC
4. AB + BC = AB
5. AB + BC - AB = AB - AB
6. BC = 0
7. AB = AB + 0 = AB + BC = AC
C. Given: m∠ABE = m∠DBE
From: m∠ABE = m∠ABD + m∠DBE
Statements
1. m∠ABE = m∠DBE
2. m∠ABE = m∠ABD + m∠DBE
3. m∠ABD + m∠DBE = m∠DBE
4. m∠ABD + m∠DBE - m∠DBE = m∠DBE - m∠DBE
5. m∠ABD = 0
6. m∠ABE = m∠ABD + m∠DBE = 0 + m∠DBE = m∠DBE
7. m∠ABE = m∠DBE
Parent Tip: Review the logic above to help your child master the concept of geometric proof practice worksheet.