This document defines and discusses properties of isosceles and equilateral triangles. It states that an isosceles triangle has two sides of equal length, and the angles opposite the equal sides are also equal. Additionally, if two angles of any triangle are equal, then the sides opposite those angles are also equal. If a triangle's three sides are equal in length, it is both equilateral and equiangular. The document also provides an example of finding the measure of an angle in an equilateral triangle.

1. 4.7 Isosceles and Equilateral Triangles Legs: the 2 ≅ sides of an isosceles Ve rtex Angle: the < formed by the legs Ba se: the 3rd side Ba se Angles: the 2 < s adjacent to the base Base Angles Theorem: If 2 sides of a are ≅ , then the < opposite them are ≅ . Co nverse of Base Angles: If 2 <s are ≅ , then the sides opposite them are ≅ . vertex < leg leg base base < base <

2. Corollaries: I f a triangle is equilateral, then it is equiangular. If a triangle is equiangular, then it is equilateral. Find ST in the triangle at the right. STU is equilateral, then its is equiangular.

5. Find the values of x and y in the diagram. x ° = 60 ° y ° = 120 °

6. HW pg. 267 #3-27 odd