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4.1 Triangles and Angles Pg 194. Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS)

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Presentation on theme: "4.1 Triangles and Angles Pg 194. Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS)"— Presentation transcript:

1 4.1 Triangles and Angles Pg 194

2 Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS) Q R S

3 Classifying Δs by Angles or Sides Angles Acute Obtuse Right Equiangular Sides Scalene Isosceles Equilateral

4 Each of the three points are vertices Adjacent sides- 2 sides sharing a common vertex Third side is opposite the given vertex. A B C

5 Parts of a Right Triangle Leg Hypotenuse

6 Parts of an Isosceles Triangle Leg Base __ ___

7 How can ΔABC be right and isosceles? A B C ____ _____

8 Interior Angles )) ))) ( A B C

9 Exterior Angles (formed by extending the sides) ( )) (( D E F An exterior angle and its corresponding interior angle add up to 180 ⁰.

10 How do we measure an angle with a protractor?

11 Thm 4.1:Triangle Sum Thm The sum of the measures of the interior angles of a triangle is 180 o. m  A + m  B+ m  C=180 o A BC

12 Thm 4.2: Exterior Angles Thm The measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 nonadjacent interior angles. m  1=m  A+ m  B 1 A B C

13 Corollary to triangle sum thm (Corollary- a statement easily proved using a thm.) * The acute angles of a right triangle are complementary. A B C  A is comp. to  C

14 Assignment Geometry Textbook p. 198-199 (1-9, 31-39)


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