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
Golden ratio wikipedia , lookup
Penrose tiling wikipedia , lookup
Technical drawing wikipedia , lookup
Apollonian network wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
46 Isosceles and Equilateral Triangles.notebook February 23, 2016 In an Iscosceles Triangle we know there are two congruent sides. If I were to tell you that there are also two congruent angles, where would you expect them to be? X W Y 46 Isosceles and Equilateral Triangles Anytime you have congruent sides in a triangle, the angles across from those sides are also congruent. Anytime you have congruent angles in a triangle, the sides across from them are also congruent. 46 Isosceles and Equilateral Triangles.notebook February 23, 2016 We know isosceles triangles have two congruent sides. That C means the angles across from those sides are congruent. So, if AC = BC, what two angles are congruent? A B Parts of an Isosceles Triangle: 1) The congruent sides are known as legs. 2) The congruent angles are known as base angles. 3) The non congruent angle is the Vertex. 4) The non congruent side is the base. 46 Isosceles and Equilateral Triangles.notebook February 23, 2016 ex) Identify the congruent sides based on the congruent angles. B H E F A C D I G ex) Identify the congruent angles based on the congruent sides. K N 9in M Q 9in P L J R O ex) If <SQR = <QSR, what sides are congruent? Q 4x 2 R S Solve for X. 2x + 2 46 Isosceles and Equilateral Triangles.notebook February 23, 2016 ex) Find the value of x in the triangle. 80O 2x What if all three sides or all three angles are congruent? This shows us that a triangle that is equilateral is always equiangular and vise versa. 46 Isosceles and Equilateral Triangles.notebook February 23, 2016 If a segment bisects the Vertex, then is also bisects the base. *Also 2x 3 3x 9 Classwork: pg 289 2 6 to base 46 Isosceles and Equilateral Triangles.notebook Homework: pg. 290 15 22 February 23, 2016