Download presentation
Presentation is loading. Please wait.
1
Isosceles and Equilateral Triangles
2
4.5 Isosceles and Equilateral Triangles
Isosceles Triangle: Vertex Angle Leg Leg Base Angles Base *The Base Angles are Congruent*
3
Isosceles Triangles Theorem 4-3 Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are congruent B <A = <C A C
4
Isosceles Triangles Theorem 4-4 Converse of the Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent B Given: <A = <C Conclude: AB = CB A C
5
Isosceles Triangles Theorem 4-5
The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base B Given: <ABD = <CBD Conclude: AD = DC and BD is ┴ to AC A C D
6
Equilateral Triangles
If a triangle is equilateral, then the triangle is equiangular If a triangle is equiangular, then the triangle is equilateral
7
Using Algebra Find the values of x and y: M ) ) y° N x° 63° O L
8
Proof of the Isosceles Triangle Theorem
Statements Reasons 1. 2. 3. 4. 5.
9
Find the values of the variables.
10
Find the values of the variables.
Similar presentations
© 2023 SlidePlayer.com Inc.
All rights reserved.
