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Properties and Theorems

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Presentation on theme: "Properties and Theorems"— Presentation transcript:

1 Properties and Theorems

2 List of Theorems Chapters 1-3 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 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

3 List of Theorems Chapter 4 Chapter 5 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 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

4 4.1 – Triangles and Angles

5 Types of Triangles

6 Types of Triangles

7 Right and Isosceles Triangles

8 Interior vs. Exterior Angles

9 Triangle Sum Theorem

10 Exterior Angle Theorem

11 Corollary to the Triangle Sum Theorem

12 Classify the triangle by its angles and by its sides.

13 Classify the triangle by its angles and by its sides.

14 Classify the triangle by its angles and by its sides.

15 Complete the sentence with always, sometimes, or never.

16 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

17 Find the measure of the numbered angles.

18 Find the measure of the numbered angles.

19 Find the measure of the exterior angle shown

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

21 Find the measure of the exterior angle shown

22

23 Homework pp all, all, 47,49-50


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