Grade 12 Geometry: Segment Proofs Worksheet
This worksheet focuses on segment proofs, including definitions, postulates, theorems, and their application in geometric proofs.
Includes
Standards
Topics
Grade 12 Geometry: Segment Proofs
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Read each question carefully and provide clear, logical answers. Show all your work for proofs.
1. The states that if three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
2. A is a statement that is accepted as true without proof.
3. If two segments have the same measure, then they are . Conversely, if two segments are congruent, then they have the same .
1. The Reflexive Property of Equality states that AB = AB.
True
False
2. The Transitive Property of Congruence states that if AB ≅ CD and CD ≅ EF, then AB ≅ EF.
True
False
1. Given that M is the midpoint of segment AB. Explain what this means in terms of segment lengths and congruence.
1. Given: AB = CD. Prove: AC = BD
Statements
Reasons
1. AB = CD
1. Given
2. Given: AB ≅ CD, BC ≅ DE. Prove: AC ≅ CE
Statements
Reasons
1. AB ≅ CD
1. Given
2. BC ≅ DE
2. Given
Given a number line with points A, B, C, and D in that order. If AC = BD, prove that AB = CD.
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