• Slides: 16

5. 6 Notes: Inequalities in Two Triangles

Vocabulary Inequalities in Two Triangles 5. 13 Inequalities in Two Triangles 5. 14

Example 1: a) Compare the measures AD and BD.

Example 1: b. Compare the measures of ABD and BDC

Example 2: HEALTH Doctors use a straight-leg-raising test to determine the amount of pain felt in a person’s back. The patient lies flat on the examining table, and the doctor raises each leg until the patient experiences pain in the back area. Nitan can tolerate the doctor raising his right leg 35° and his left leg 65° from the table. Which leg can Nitan raise higher above the table?

Example 3: Find the range of possible values for a.

Complete with < , > or =. Explain. 1. ST ______ VW

Complete with < , > or =. Explain. 2. DE _____ EF

Complete with < , > or =. Explain. 3. JK ____ LM

Complete with < , > or =. Explain. 4. m 1 _____ m 2

Complete with < , > or =. Explain. 5. m 1 _____ m 2

Complete with < , > or =. Explain. 6. m 1 _____ m 2

Summary! 1. Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x.

Summary! 2. Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x.

Summary! 3. Error Analysis Explain why the student's reasoning is not correct. By the Hinge Theorem, AB>DC.