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Triangle Congruence 4.5 Isosceles and Equilateral Triangles.

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Presentation on theme: "Triangle Congruence 4.5 Isosceles and Equilateral Triangles."— Presentation transcript:

1 Triangle Congruence 4.5 Isosceles and Equilateral Triangles

2 Objectives  Know what base and vertex angles are  Know how to solve for angles in isosceles and equilateral triangles

3

4 Vertex Angle: ∠ between the ≅ sides Base Angles: ∠ s opposite the ≅ sides Legs: ≅ sides

5 If 2 sides of a ∆ are ≅, then the base ∠ s are ≅

6 equilateral congruent sides congruent angles ∠ s in an equilateral ∆ equal 60 degrees

7 70 4 60 50 70 60

8 65 55 60 65

9 35 65 50

10 If a line bisects the vertex ∠ of a isosceles ∆, then the line is the ⊥ bisector of the base

11

12 2x – 9 2x – 9 + 7x = 180 9x – 9 = 180 9x = 189 x = 21

13 45 m =45 n =15

14 Objectives  Know what base and vertex angles are  Know how to solve for angles in isosceles and equilateral triangles

15 Homework  4.5 Practice


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