1 / 11

Isosceles Triangles

Isosceles Triangles. Sec: 4.6 Sol: G.5. 3. Leg. Leg. 1. 2. Base. Properties of Isosceles Triangles. An isosceles triangle is a triangle with two congruent sides. The congruent sides are called legs and the third side is called the base. Vertex. Base Angles. A. B. C.

Download Presentation

Isosceles Triangles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Isosceles Triangles Sec: 4.6 Sol: G.5

  2. 3 Leg Leg 1 2 Base Properties of Isosceles Triangles An isosceles triangle is a triangle with two congruent sides. The congruent sides are called legs and the third side is called the base. Vertex Base Angles

  3. A B C Theorem 4.9 Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides (base angles) are congruent.

  4. Given:Prove:

  5. Find the measure of the missing angle If What is the measure of

  6. A B C A 3x - 7 x+15 ° ° B 50 50 C Theorem 4.10 If two angles of a triangle are congruent, then the sides opposite those angles are congruent. Example: Find the value of x. Since two angles are congruent, the sides opposite these angles must be congruent. 3x – 7 = x + 15 2x = 22 X = 11 Lesson 3-2: Isosceles Triangle

  7. Example: • Name Two Congruent Angles: • Name Two Congruent Segments:

  8. Properties of Equilateral Triangles Corollaries: 4.3 A triangle is equilateral if and only if it is equiangular. 4.4 Each angle of an equilateral triangle measures 60°. 60° 60° 60°

  9. Example: Triangle EFG is equilateral, and segment EH bisects angle E Find the measure of angle 1 and 2: Solve for X:

  10. Assignments: Classwork: WB pg 51 1-6 Homework: Worksheet 4-6

More Related