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.

Grade 9 Math GeometrySegment Proofs

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Standards

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

Topics

GeometrySegment ProofsGrade 9Math

6 sections · Free to use · Printable

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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.

Statements

Reasons