Bellwork Write if-then form, converse, inverse, and contrapositive of given statement. 3x - 8 = 22 because x = 10.

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Presentation transcript:

Bellwork Write if-then form, converse, inverse, and contrapositive of given statement. 3x - 8 = 22 because x = 10

Lesson 5.6 Inequalities in two triangles and Indirect Proof

Objective Use inequalities to make comparisons in two triangles

Standard 2.0 – Students write geometric proofs, including proofs by contradiction

Academic Language Indirect Proof Included Angle

Hinge Theorem

Example

The Real World

Practice

Indirect Proof Make a temporary assumption that the desired conclusion is false. By proving this assumption is impossible, you prove the original statement true by contradiction.

Example

Use Indirect Proof

Practice – Indirect Proof

Homework p.338 #1, 2, 3, 5, 7, 11, 13, 17