Grade 10 Geometry: Segment Proofs Worksheet

This worksheet focuses on segment proofs, covering postulates, theorems, and logical deductions to prove segment relationships.

Grade 10 Math GeometrySegment Proofs

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Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

geometrysegment proofshigh school mathproofsdeductive reasoning

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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