![]() ![]() ![]() Many of these problems take more than one or two steps, so look at it as a puzzle and put your pieces together!īelow you can download some free math worksheets and practice. If you don’t remember that last step, don’t worry! You can just take two more steps and find the 3 rd angle of the bottom triangle and subtract it from 180°to find the exterior angle. We need a few pieces of the puzzle before we can find the measure of x. They ultimately want to find the measure of that exterior angle. There’s actually at least three different ways that you can answer this problem. Find a piece at a time and put them together until you reach your answer! You have to look at these problems as “puzzles” because sometimes you need to find a part that they are not asking for in order to find the final result. Let’s see if we can put these properties to work and answer a few questions. If two angles of a triangle are congruent, then the sides opposite those angles are congruent. So, in EVERY equilateral triangle, the angles are always 60°. Converse of the Isosceles Theorem Triangle. This is because all angles in a triangle always add up to 180°and if you divide this amongst three angles, they have to each equal 60°. 4. Example 2 Prove the Equilateral Triangle Theorem and its converse. Equilateral Triangle Theorem If a triangle is equilateral, then it is equiangular. An equiangular triangle is a triangle with three congruent angles. The angles, however, HAVE to all equal 60°. An equilateral triangle is a triangle with three congruent sides. The congruent sides of an isosceles triangle are called. These angles are opposite the congruent sides. The sides can measure anything as long as they are all the same. legs of an isosceles triangle base of an isosceles triangle base angles 4.3 Isosceles and Equilateral Triangles The Geo-Activity shows that two angles of an isosceles triangle are always congruent. When all angles are congruent, it is called equiangular. In an equilateral triangle, all sides are congruent AND all angles are congruent. Here are some diagrams that usually help with understanding. Since two sides are congruent, it also means that the two angles opposite those sides are congruent. Well, some of these types of triangles have special properties!Īn isosceles triangle has two sides that are congruent. ![]() We’ve learned that you can classify triangles in different ways. ![]()
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