Grade 12 Geometry: Segment Proofs Worksheet

This worksheet focuses on segment proofs, including definitions, postulates, theorems, and their application in geometric proofs.

Grade 12 Math GeometrySegment Proofs

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Includes

Fill in the BlanksTrue / False2 Short AnswerCustom

Standards

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

Topics

geometrysegment proofshigh schoolmathproofs

7 sections · Free to use · Printable

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.