Grade 10 Geometry: Segment Proofs Worksheet
This worksheet focuses on segment proofs, covering postulates, theorems, and logical deductions to prove segment relationships.
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Grade 10 Geometry: Segment Proofs
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Read each question carefully and provide clear, logical proofs for each statement. Use appropriate postulates, definitions, and theorems to support your reasoning.
1. A statement that is accepted as true without proof is called a .
2. A is a statement that has been proven true using definitions, postulates, and other theorems.
3. The states that if B is between A and C, then AB + BC = AC.
4. If two segments have the same length, they are said to be .
5. Given: AC = BD. Prove: AB = CD.
6. Given: M is the midpoint of segment AB. Prove: AM = (1/2)AB and MB = (1/2)AB.
7. Which property allows you to state that AB = BA?
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
8. If AB = 5 and BC = 3, then AC must be 8.
True
False
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