Properties and theorems
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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

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Properties and Theorems

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Properties and theorems

Properties and Theorems


List of 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

  • 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 theorems1

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

4.1 – Triangles and Angles


Types of triangles

Types of Triangles


Types of triangles1

Types of Triangles


Right and isosceles triangles

Right and Isosceles Triangles


Interior vs exterior angles

Interior vs. Exterior Angles


Triangle sum theorem

Triangle Sum Theorem


Exterior angle theorem

Exterior Angle Theorem


Corollary to the triangle sum theorem

Corollary to the Triangle Sum Theorem


Classify the triangle by its angles and by its sides

Classify the triangle by its angles and by its sides.


Classify the triangle by its angles and by its sides1

Classify the triangle by its angles and by its sides.


Classify the triangle by its angles and by its sides2

Classify the triangle by its angles and by its sides.


Complete the sentence with always sometimes or never

Complete the sentence with always, sometimes, or never.


Sketch the following triangles if possible if not possible state so

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 angles

Find the measure of the numbered angles.


Find the measure of the numbered angles1

Find the measure of the numbered angles.


Find the measure of the exterior angle shown

Find the measure of the exterior angle shown


Realize this last problem is an example of the exterior angle theorem

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


Find the measure of the exterior angle shown1

Find the measure of the exterior angle shown


Homework

Homework

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


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