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Geometry practice worksheet with proof exercises involving complementary angles, triangle congruence, and angle relationships.

Geometry worksheet titled "Extra Practice with Proofs" featuring three sections with angle and triangle proofs, including diagrams of intersecting lines and triangles with labeled points and angles.

Geometry worksheet titled "Extra Practice with Proofs" featuring three sections with angle and triangle proofs, including diagrams of intersecting lines and triangles with labeled points and angles.

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Show Answer Key & Explanations Step-by-step solution for: Intro to Geometry Proofs Extra Practice Worksheet | Geometry ...
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.
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