___ let Kayln Marie Van Asperen-Yost -.

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Presentation transcript:

___ let Kayln Marie Van Asperen-Yost -

( & ) Ona Strickland

USE ISOSCELES AND EQUILATERAL TRIANGLES Warm up! USE ISOSCELES AND EQUILATERAL TRIANGLES For questions 1-3, classify each triangle by its sides. 2 cm, 2 cm, 2 cm 2. 7 ft, 11 ft, 7 ft 3. 9m, 8m, 10 m Equilateral Isosceles Scalene

Vocabulary Isosceles Triangle: Legs: Base: Vertex Angle: Base Angles: has at least 2  sides The 2 sides that are congruent The side that is not congruent (if it only has 2  sides) S O I The angle between the 2 legs of the triangle The 2 angles attached to the base I and 0

BASE ANGLES THEOREM C A C B

CONVERSE OF BASE ANGLES THEOREM

Example 1 In ΔFGH, FH GH. Name two congruent angles.  G is congruent to F

GUIDED PRACTICE Complete the statement 1. If HG HK, then ______ ________ 2. If KHJ KJH, then ______ _______ G HKG Extra: What are the base angles of an isosceles right triangle?

A triangle is equilateral if and only if it is ___________ equiangular equilateral A triangle is equilateral if and only if it is ___________ equiangular

Example 2: Find the measures of R, S, T Is it possible for an equilateral triangle to have an angle measure other than 60? No

Example 3: Find the values of x and y in the diagram.

Example 4: Find the values of x and y in the diagram.

Practice Problems:

Find the values of x and y.