2.5 Proving Statements about Segments and Angles

Presentation

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Mathematics

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9th - 12th Grade

•

Medium

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CCSS

HSG.SRT.B.5, HSG.CO.C.10, 8.G.A.2

Standards-aligned

Mary Lett

Used 136+ times

FREE Resource

6 Slides • 13 Questions

2.5 Proving Statements about Segments and Angles

by Mary Lett

Objective and Standards

Students will be able to use a two-column proof to prove theorems about line segments and angles.

HSG-CO.C.9: Prove theorems about lines and angles.

Vocabulary

Proof: a logical argument that uses deductive reasoning to show that a statement is true.
Two-Column Proof: has numbered statements and corresponding reasons that show an argument in a logical order.

Multiple Choice

Give the reason that belongs in the blank labeled 1.

Given

Substitution Property of Equality

4x = 20

Division Property of Equality

Multiple Choice

Give the reason that belongs in the blank labeled 4.

Given

Substitution Property of Equality

4x = 20

Division Property of Equality

Multiple Choice

Give the statement that belongs in the blank labeled 5.

Given

Substitution Property of Equality

4x = 20

Division Property of Equality

Multiple Choice

Give the reason that belongs in the blank labeled 6.

Given

Substitution Property of Equality

4x = 20

Division Property of Equality

Vocabulary

Theorem: a statement that can be proven.
- Once you have proven a theorem, you can use it as a reason in other proofs.

Multiple Choice

Name the property that the statement illustrates.

Reflexive Property of Segment Congruence

Symmetric Property of Segment Congruence

Transitive Property of Segment Congruence

Reflexive Property of Angle Congruence

Transitive Property of Angle Congruence

Multiple Choice

Name the property that the statement illustrates.

Reflexive Property of Segment Congruence

Symmetric Property of Segment Congruence

Transitive Property of Segment Congruence

Reflexive Property of Angle Congruence

Transitive Property of Angle Congruence

Proving the Symmetric Property of Segment Congruence

Multiple Choice

Which property justifies the next step?

Symmetric Property

Segment Addition Postulate

Definition Midpoint

Definition Congruence

Multiple Choice

Which property justifies the next step?

Definition Congruence

Segment Addition Postulate

Transitive Property

Definition Equality

Multiple Choice

If AB=CD then AB+EF = CD + EF

Division property of equality

Addition Property of equalilty

Transitive property of equality

Substitution property of equality

Multiple Choice

JK equals LM, then line segment JK is congruent to line segment LM

Definition of midpoint

Transitive Property of Segment Congruence

Symmetric Property of Segment Congruence

Definition of Congruence

Multiple Choice

If AB=BC and BC=CE then AB=CE

Transitive property of Equality

Multiplication of equality

Reflective property of equality

Distributive property of equality

Multiple Choice

If Q is between P and R, then PQ +QR=PR

Segment Addition postulate

Definition of Midpoint

Addition Property of equality

Transitive Property of Equality

Multiple Choice

Give the Reason #1

Given

Segment Addition Property

Addition Property of Equality

PQ + QR = PR

Transitive Property of Equality

2.5 Proving Statements about Segments and Angles

by Mary Lett

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