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Properties and TheoremsPowerPoint Presentation

Properties and Theorems

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Presentation Transcript

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
- 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

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

Complete the sentence with always, sometimes, or never.

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

Find the measure of the numbered possible, angles.

Find the measure of the numbered possible, angles.

Find possible, the measure of the exterior angle shown

Realize this possible, last problem is an example of the Exterior Angle Theorem

Find possible, the measure of the exterior angle shown

Homework possible,

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

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