1 / 9

4.7 Use Isosceles and Equilateral Triangles

4.7 Use Isosceles and Equilateral Triangles. Hubarth Geometry. The congruent sides of an isosceles triangle are called legs. The other side is called the base. The two angles at the base of the triangle are called the base angles. A. vertex angle. base angles. leg. leg. B. C. base.

bonnerc
Download Presentation

4.7 Use Isosceles and Equilateral 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. 4.7 Use Isosceles and Equilateral Triangles Hubarth Geometry

  2. The congruent sides of an isosceles triangle are called legs. The other side is called the base. The two angles at the base of the triangle are called the base angles. A vertex angle base angles leg leg B C base Theorem 4.3 Base Angles Theorem

  3. Ex 1. Use the Base Angle Theorem M 52 N L Solution

  4. Theorem 4.4 Converse of the Base Angle Theorem A B C

  5. Ex 2. Use the Converse of the Base Angles Theorem Find the value of x. F 12 D X+3 E Solution

  6. Corollaries Corollary to the Base Angles Theorem B Corollary to the Converse of Base Angles Theorem A C

  7. Ex 3. Find the Side Length of an Equiangular Triangle Find the length of each side of the equiangular triangle. 3x 2x+10 Solution Because the triangle is equiangular, it is also equilateral. So, 3x=2x+10 x=10 3(10)=30 Each side of the triangle is 30

  8. Find the values of x and y in the diagram. EX 3 Use Isosceles and Equilateral Triangles STEP 1 STEP 2 Definition of congruent segments LN = LM 4 = x + 1 Substitute 4 for LN and x + 1 for LM. 3 = x Subtract 1 from each side.

  9. 5. Find the values of x and y in the diagram. y° = 120° x° = 60° Practice Find the value of y. y=50 y=9 16 y+4=16 -4 -4 y=12 2. 3. 1. 9 y 50 y Y+4 B 4. 58 6x+4 C A

More Related