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# Simple Proofs & Theorems 1 and 2 Geometry 1.4 - PowerPoint PPT Presentation

Simple Proofs & Theorems 1 and 2 Geometry 1.4. Definition : Postulates are statements that are assumed true. They are not proved to be true. Definition : Theorems are statements that are proved true using postulates and/or theorems that have already been proved .

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## PowerPoint Slideshow about 'Simple Proofs & Theorems 1 and 2 Geometry 1.4' - claus

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&

Theorems 1 and 2

Geometry 1.4

Definition: Postulates are statements that are assumed true. They are not proved to be true.

Definition: Theorems are statements that are proved true using postulates and/or theorems that have already been proved.

### Two Types of Statements:Postulates & Theorems

Theorem 1: If two angles are right angles, then they are congruent.

Theorem 2: If two angles are straight angles, then they are congruent.

Theorem 1: If two angles are right angles, then they are congruent.

How to prove a

theorem:

1. Rewrite the “IF – THEN” statement as “Given” and “Prove”

2. Draw a diagram with labels for all referenced objects

3. Write a “Two-Column” Proof

Theorem 2: If two angles are straight angles, then they are congruent.

How to prove a

theorem:

1. Rewrite the “IF – THEN” statement as “Given” and “Prove”

2. Draw a diagram with labels for all referenced objects

3. Write a “Two-Column” Proof

Given: <A and <B are right angles

Prove:

1.

2.

Given: m<BAC=30 and m<DAC=30

Prove:

1.

2.