1 / 9

Inequalities in Two Triangles

Inequalities in Two Triangles. Chapter 5 Section 7. Objective. Students will apply inequalities in two triangles. This means that students will use angle side relationships to solve problems in two triangles. The Hinge Theorem (5-3).

camdyn
Download Presentation

Inequalities in Two 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. Inequalities in Two Triangles Chapter 5 Section 7

  2. Objective • Students will apply inequalities in two triangles. • This means that students will use angle side relationships to solve problems in two triangles.

  3. The Hinge Theorem (5-3) • If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle. • Also known as SAS Inequality Theorem

  4. Turn to page 333… • Look at problem 1 and Problem 2 • Try the “Got It” problem at the bottom of each example.

  5. Converse of the Hinge Theorem • If two sides of one triangle are congruent to two sides of another triangle, and the third sides are not congruent, then the larger included angle is opposite the longer third side. • Also known as the SSS Inequality Theorem

  6. Turn to Page 335… • Look at Problem 3 and 4 • Try the “Got It” problems at the bottom of each example.

  7. On page 336… • Try problems #1-5 on your own

  8. Continue on page 336… • Complete problems #6-18.

  9. Reflection • Explain in your own words the Hinge Theorem. How can this help you to solve problems? • Explain in your own words the Converse of the Hinge Theorem. How are the two different?

More Related