Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Multilateration wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometry 4.7 Isosceles and Equilateral Triangles Name: _______________________ A triangle is isosceles if it has at least ______ congruent sides. When an isosceles triangle has EXACTLY two congruent sides, the two sides are called the ___________ Vertex Angle- The angle formed by the legs Base- The third remaining side (not the legs) Base Angles- The angles _______________________ to the base Base Angles Theorem- If two sides of a triangle are congruent, then the angles opposite them (the base angles) are congruent. Converse of the Base Angles Theorem- If two angles of a triangle are congruent, then the sides opposite them (the legs) are congruent. Examples: 1. If Μ Μ Μ Μ π»πΊ β Μ Μ Μ Μ π»πΎ , then β ___________ β β ___________ 2. If β πΎπ»π½ β β πΎπ½π», then ________ β ________ Practice Problems: 1. Find πβ πΉ. 2. Find the value of x. 3. Find the value of y and the πβ π. Corollary to the Base Angles Theorem If a triangle is equilateral, then it is ____________________ Corollary to the Converse of the Base Angles Theorem If a triangle is equiangular, then it is _____________________ 4. Find the values of x and y. 5. Find the values of x and y. 6. Find the value of x. . 7. Find the value of y and ππ. 8. Find the value of t. 9. Find the value of x. 10. Is it possible to find the values of x and y? If so, find them.