Properties and Theorems

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# Properties and Theorems - PowerPoint PPT Presentation

Properties and Theorems. List of Theorems. Chapters 1-3. Right Angle Congruence Theorem Congruent Supplements Theorem Congruent Complements Theorem Linear Pair Postulate Vertical Angles Theorem Parallel Postulate Perpendicular Postulate Corresponding Angles Postulate &amp; Converse

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## PowerPoint Slideshow about 'Properties and Theorems' - vevay

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### Properties and Theorems

List of Theorems

Chapters 1-3

Right Angle Congruence Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Linear Pair Postulate

Vertical Angles Theorem

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Postulate & Converse

Alternate Interior Angles Theorem & Converse

Consecutive Interior Angles Theorem & Converse

Alternate Exterior Angles Theorem & Converse

• Ruler Postulate
• Protractor Postulate
• Law of Detachment
• Law of Syllogism
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality
• Reflexive Property
• Transitive Property
• Substitution Property
List of Theorems

Chapter 4

Chapter 5

Perpendicular Bisector Theorem & Converse

Angle Bisector Theorem & Converse

Concurrency of Perpendicular Bisectors of a Triangle

Concurrency of Angle Bisectors of a Triangle

Concurrency of Medians of a Triangle

Concurrency of Altitudes of a Triangle

Midsegment Theorem

Exterior Angle Inequality

Triangle Inequality

Hinge Theorem

Converse of Hinge Theorem

• Triangle Sum Theorem
• Exterior Angle Theorem
• Third Angles Theorem
• SSS Congruence Postulate
• SAS Congruence Postulate
• ASA Congruence Postulate
• AAS Congruence Postulate
• Base Angles Theorem
• Base Angles Converse
• Hypotenuse-Leg Congruence Theorem

### 4.1 – Triangles and Angles

Sketch the following triangles, if possible. If not possible, state so.
• A right isosceles triangle
• An obtuse scalene triangle
• An acute equilateral triangle
• A right obtuse triangle
Homework
• pp 198-199 1-28 all, 31-39 all, 47,49-50