warm-up the roundest knight at king arthur’s round table was sir cumference he acquired his size...

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Warm-up roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. hen the butcher backed into the meat grinder… He got a little behind in his work.

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Page 1: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

Warm-up

The roundest knight at King Arthur’s round table was

Sir Cumference

He acquired his size from too much pi.

When the butcher backed into the meat grinder…

He got a little behind in his work.

Page 2: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

Agenda

Homework Review Chapter 4 Identifying Congruent

Triangles 4-2 Measuring Angles in Triangles

4-1, 4-2 Enrichment

Page 3: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Study Guide

Page 4: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Practice

Page 5: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Practice

Page 6: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Classifying Triangles Review

Page 7: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Classifying Triangles Review

Page 8: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-1 Classifying Triangles Review

Page 9: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Measuring Angles in Triangles

Theorem 4-1 Angle Sum Theorem

The sum of the measures of the angles of a triangle is 180. A + B + C = 180

A line or “straight angle” is exactly 180 degrees.

Page 10: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Measuring Angles in Triangles

Theorem 4-2 Third Angle Theorem

The basis of this proof is that if both triangles total 180 degrees, and both triangles have two identical angles... then the third angle would be the same remainder. Third angle congruence shows up throughout many units.. remember it.

Page 11: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Measuring Angles in Triangles

Theorem 4-3 Exterior Angle Theorem The measure of an exterior angle of a triangle is equal tothe sum of the measures of the two remote interior angles. In the figure to the left, BCD is an exterior angle of triangle ABC. An EXTERIOR ANGLE is formed by one side of a triangle and the extension of another side. The interior angles of the triangle not adjacent to a given exterior angle are called REMOTE INTERIOR ANGLE. Thus in the above case, A and B are the remote angles to the exterior angle BCD.

Page 12: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Measuring Angles in Triangles

Corollary 4-1 - The acute angles of a right triangle are complementary.

Corollary 4-2 - There can be at most one right or obtuse angle in a triangle.

By the way.... what is a corollary? A COROLLARY is a statement that can be easily proved using a theorem..... A better way of saying this... is that a corollary is a fact or statement that directly falls from a given theorem.

Page 13: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Measuring Angles in Triangles

137

105

75

61

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37

68

98

Page 14: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

Answers Ahead

Page 15: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

4-2 Study Guide

Page 16: Warm-up The roundest knight at King Arthur’s round table was Sir Cumference He acquired his size from too much pi. When the butcher backed into the meat

Homework

4-2 Study Guide and Practice 4-1, 4-2 Enrichment

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