1 / 23

# 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 & Converse

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

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

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 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

• 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

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

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 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