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GT Geometry Drill
Pick up a paper and complete
Classroom Ex #1- 10
# 2 then
#8 then 2z = 2
EFAB
• #1.Write a two column proof
• Given: AB=CD
• Prove: AC=BD
A B C D
Proof
Statement
1. AB=CD
2. BC=BC
3. AB +BC = CD + BC
4. AB +BC = AC
CD + BC = BD
5. AC = BD
Reason
1. Given
2. Reflexive property of
Equality
3. Addition Property of
Equality
4. Segment Addition
Postulate
5. Substitution Property
of Equality
Proofs
• Example 1
• Given:
• Prove:
D
BODmAOCm
31 mm
CB
A
O
3
21

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Proofs day 1

  • 1. GT Geometry Drill Pick up a paper and complete Classroom Ex #1- 10 # 2 then #8 then 2z = 2 EFAB
  • 2. • #1.Write a two column proof • Given: AB=CD • Prove: AC=BD A B C D
  • 3. Proof Statement 1. AB=CD 2. BC=BC 3. AB +BC = CD + BC 4. AB +BC = AC CD + BC = BD 5. AC = BD Reason 1. Given 2. Reflexive property of Equality 3. Addition Property of Equality 4. Segment Addition Postulate 5. Substitution Property of Equality
  • 4.
  • 5. Proofs • Example 1 • Given: • Prove: D BODmAOCm 31 mm CB A O 3 21