PIB Geometry 3-6: Inductive Reasoning. 3-6 Warm Up 1. What is the measure of each exterior angle in a regular triacontakaipentagon (35-gon)? Be sure to.

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Presentation transcript:

PIB Geometry 3-6: Inductive Reasoning

3-6 Warm Up 1. What is the measure of each exterior angle in a regular triacontakaipentagon (35-gon)? Be sure to draw a picture!...just kidding. Round your answer to the nearest tenth. 2. The sum of the measures of the interior angles of a regular polygon is 24 times the measure of one exterior angle. What kind of polygon is it?

Turn in homework 3-5

Deductive vs. Inductive Reasoning

Inductive reasoning is used to analyze patterns and make generalizations. Inductive generalizations are probably true, but not always true, so be careful! Ex) Students who bribe Mr. Cawelti with Amazon gift cards at Christmas (mysteriously) always get As in PIB Geometry. What inductive generalization could a student who gives Mr. Cawelti an Amazon gift card this Christmas make?

More Examples

A student concluded inductively that if the diagonals of a quadrilateral are congruent and perpendicular, then the quadrilateral is regular. Is this a true statement? If not, find a counterexample.

Statement: The diagonals of an equilateral quadrilateral are congruent. Is this a true statement? If not, give a counterexample

Homework 3-6 p. 107: #1-25 odd, 8, 16 Ch. 3 Test on BLOCK! (We’ll review tomorrow)