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Apply Triangle Sum Properties

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Section 4.1 Apply Triangle Sum Properties Homework Pg 221 #17-19, 34, 48 (only prove 48) Vocabulary Scalene no congruent sides Isosceles - two congruent sides ... – PowerPoint PPT presentation

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Title: Apply Triangle Sum Properties


1
Section 4.1
  • Apply Triangle Sum Properties

2
Homework
  • Pg 221 17-19, 34, 48 (only prove 48)

3
Vocabulary
  • Scalene no congruent sides
  • Isosceles - two congruent sides
  • Equilateral three congruent sides
  • Acute three acute angles
  • Right one right angle
  • Obtuse one obtuse angle
  • Equiangular three congruent angles
  • Interior Angles angles on the inside of a
    polygon
  • Exterior Angles angles that form a linear pair
    with Interior Angles

4
Theorem 4.1 Triangle Sum Theorem
  • The sum of the measure of the interior angles of
    a triangle is 180.

5
Theorem 4.2 Exterior Angle Theorem
  • The measure of an exterior angle of a triangle is
    equal to the sum of the measures of the two
    nonadjacent interior angles.

6
Corollary to the Triangle Sum Theorem
  • The acute angles of a right triangle are
    complementary.

7
Prove Triangle Sum Theorem
8
Find an angle measure
Find m? JKM.
9
Example
Find the measure of each interior angle of
ABC, where m A x , m B 2x , and m
C 3x.
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