Download 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)
 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
Turn to page 333…
 Look at problem 1 and Problem 2
 Try the “Got It” problem at the bottom of each
example.
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
Turn to Page 335…
 Look at Problem 3 and 4
 Try the “Got It” problems at the bottom of
each example.
On page 336…
 Try problems #1-5 on your own
Continue on page 336…
 Complete problems #6-18.
Reflection
1. Explain in your own words the Hinge
Theorem. How can this help you to solve
problems?
2. Explain in your own words the Converse of
the Hinge Theorem. How are the two
different?