1 / 11

Chapter 4.6

Chapter 4.6. Isosceles, Equilateral, and Right Triangles. Objectives/Assignment. Use properties of isosceles and equilateral triangles Use properties of right triangles Assignment: 1-25 all. Goal 1: Using Properties of Isosceles Triangles.

pahana
Download Presentation

Chapter 4.6

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. Chapter 4.6 Isosceles, Equilateral, and Right Triangles

  2. Objectives/Assignment • Use properties of isosceles and equilateral triangles • Use properties of right triangles • Assignment: 1-25 all

  3. Goal 1: Using Properties of Isosceles Triangles • The two angles in an isosceles triangle adjacent to the base of the triangle are called base angles. • The angle opposite the base is called the vertex angle.

  4. Theorem 4.6: Base Angles Theorem • If two sides of a triangle are congruent, then the angles opposite them are congruent. A C B

  5. Theorem 4.7: Converse to the Base Angles Theorem • If two angles of a triangle are congruent, then the sides opposite them are congruent. A C B

  6. Corollary to the Base Angles Theorem 4.6 • If a triangle is equilateral, then it is equiangular.

  7. Corollary to the Converse of the Base Angles Theorem 4.7 • If a triangle is equiangular, then it is equilateral.

  8. Examples C A C B A B A B C NO YES YES

  9. Goal 2: Using Properties of Right Triangles Theorem 4.8 Hypotenuse-Leg (HL) Congruence Theorem • If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. A D B F C E

  10. Practice Problems • Find the measure of the missing angles and tell which theorems you used. B B C A 50° A C

  11. More Practice Problems Is there enough information to prove the triangles are congruent? S T U R V W

More Related