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Properties and Theorems

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Properties and 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
- Segment Addition Postulate
- Protractor Postulate
- Angle Addition Postulate
- Law of Detachment
- Law of Syllogism
- Addition Property of Equality
- Subtraction Property of Equality
- Multiplication Property of Equality
- Division Property of Equality
- Reflexive Property
- Transitive Property
- Substitution Property

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

- A right isosceles triangle
- An obtuse scalene triangle
- An acute equilateral triangle
- A right obtuse triangle

- pp 198-199 1-28 all, 31-39 all, 47,49-50