Mathematical Proofs

Presentation

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Mathematics

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9th - 12th Grade

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Hard

Joseph Anderson

FREE Resource

8 Slides • 6 Questions

Geometric Proofs

Two Column Proofs

What is a Proof?

A Proof is a convincing mathematical argument.

Geometric Proof premises

Definitions
Postulates
Properties
previous proven theorems

Writing a Proof

Justify each logical step with reason.
You can use symbols and abbrev, but they must be clear and able to understand.

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

What is the reason for step #2?

Definition of congruent segments

Definition of congruent angles

Definition of straight angle

Definition of midpoint

Multiple Choice

What is the missing statement in the proof?

Segment Addition Postulate

Segment Multiplication property

Segment Subtraction property

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Addition Property

Multiplication Property

Distributive Property

Combine Like Terms

Multiple Choice

What is step 6

Subtraction property of equality

Addition property of equality

Division property of equality

Multiple Choice

What is reason 3?

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Geometric Proofs

Two Column Proofs

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