Download Geometry Lesson 5.3.notebook

Geometry Lesson 5.3.notebook
January 05, 2015
Inequalities in One Triangle
Comparison Property of Inequality­ or Transitive Property of Inequality ­ If and
then If and
then Addition Property of Inequality ­ If then
If then
Subtraction Property of Inequality ­ If then If
then By the Exterior Angle Theorem, we know that
Because the angles must be positive, we know that 1
Geometry Lesson 5.3.notebook
January 05, 2015
The Exterior Angle Inequality Theorem ­ The measure of an exterior angle of a triangle is greater then the measure of either of its corresponding remote interior angles.
Using the Exterior angle Inequality Theorem, list all the angles that satisfy the stated condition. (Do not go by what the angles look like, only by what can be determined by the theorem!!!)
a. measures less than
b. measures greater than 2
Geometry Lesson 5.3.notebook
January 05, 2015
Angle ­ Side Relationships in Triangles
Theorem ­ If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.
If AC > BC, then Theorem ­ If one angle of a triangle is greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.
If then AB > BC.
List the angles of from smallest to largest.
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Geometry Lesson 5.3.notebook
January 05, 2015
List the sides of in order from shortest to longest.
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Geometry Lesson 5.3.notebook
January 05, 2015
Tim and Teresa are lifeguards at the pool. While they are working a swimmer begins to go into distress. Using the figure below, If Tim is LG1 and Teresa is LG2, who is closest to the swimmer?
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Geometry Lesson 5.3.notebook
January 05, 2015
Page 346 8­38, 41
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