Grade 9 Geometry: Segment Proofs Worksheet
This worksheet focuses on segment proofs, covering segment addition postulate, congruence, and properties of equality, suitable for Grade 9 Geometry students.
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Grade 9 Geometry: Segment Proofs
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Read each question carefully and provide the necessary proofs or answers. Show all your work for full credit.
1. If point B is between points A and C on a line segment, which postulate justifies that AB + BC = AC?
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
2. If AB ≅ CD, which property allows you to say that AB = CD?
Reflexive Property
Symmetric Property
Definition of Congruence
Transitive Property
3. The states that if three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
4. If PQ = RS, then by the property, RS = PQ.
5. If AB = BC and BC = CD, then by the property, AB = CD.
6. Given that M is the midpoint of segment AB. Explain what this means in terms of segment lengths.
7. Given the diagram below with points A, B, C, and D on a line. Prove that AC = BD if AB = CD.
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