* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Notes _____________________. Isosceles Triangles
Survey
Document related concepts
Dessin d'enfant wikipedia , lookup
Tessellation wikipedia , lookup
Steinitz's theorem wikipedia , lookup
Euler angles wikipedia , lookup
Golden ratio wikipedia , lookup
History of geometry wikipedia , lookup
Riemann–Roch theorem wikipedia , lookup
Noether's theorem wikipedia , lookup
Brouwer fixed-point theorem wikipedia , lookup
Four color theorem wikipedia , lookup
Rational trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Euclidean geometry wikipedia , lookup
Transcript
Geometry Notes - Section 4.5 Isosceles and Equilateral Triangles Spring 2009 Isosceles Triangles Theorem 4-3: Isosceles Triangle Theorem. If 2 sides of a triangle are congruent, then the ______________ opposite the sides are _____________________. Theorem 4-4: Converse of the Isosceles Triangle Theorem If 2 angles of a triangle are congruent, then the ___________ opposite the angles are _______________. Theorem 4-5: The bisector of the vertex angle of an isosceles triangle is the ______________________ __________________ of the base segment. Example 1: Complete each statement, why is it true? 1. VT ______________ 2. UT ___________ YX 3. VU __________ 4. VYU __________ Example 2: Find the values of missing variables a. b. c. d. Geometry Notes - Section 4.5 Isosceles and Equilateral Triangles Spring 2009 Example 3: Prove ADB CBD Example 4: Solve for x and y. Example 5: Find the value of x Equilateral Triangles Corollary to Theorem 4-3: If a triangle is equilateral, then the triangle is also ______________________ Corollary to Theorem 4-4: If a triangle is equiangular, then the triangle is also ___________________. What is the angle measure of each angle in an equilateral triangle? _______________ Example 6: Determine the measure of angles 1 and 2