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