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Section 4.5 isosceles & equilateral triangles Section 4.5 isosceles & equilateral triangles

Section 4.5 isosceles & equilateral triangles - PowerPoint Presentation

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Section 4.5 isosceles & equilateral triangles - PPT Presentation

Geometry Legs are congruent Isosceles Triangle Vertex Angle Base Angles Legs Theorem 43 Isosceles Triangle Thm If two sides of a triangle are congruent then the angles opposite those sides are congruent ID: 1019471

find triangle angles isosceles triangle find isosceles angles congruent sides thm theorem abcmif equilateral corollary equiangular bisector

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1. Section 4.5 isosceles & equilateral trianglesGeometry

2. Legs are congruentIsosceles TriangleVertex AngleBase AnglesLegs

3. Theorem 4-3 (Isosceles Triangle Thm): If two sides of a triangle are congruent, then the angles opposite those sides are congruent.acb

4.

5. Theorem 4-4 (Converse of Isosceles Triangle Thm): If two angles of a triangle are congruent, then the sides opposite the angles are congruent.

6. The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.Theorem 4-5ABC

7. Find the values of x and y.Ex. 2)MLN63°y°x°

8. Corollary: a statement that follows immediately from a theoremCorollary to Thm 4-3: If a triangle is equilateral, then it is equiangular.Corollary to Thm 4-4: If a triangle is equiangular, then it is equilateral.

9. Ex. 3)ABCMIf find

10. Ex. 4)ABCMIf find

11. Ex. 5)ABCMIf andfind x.

12. Ex. 6) Find the missing angles and sides.