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GBK Geometry. Jordan Johnson. Today’s plan. Greeting Check HW / Questions re Asg s #40-41? Practice problem Homework / Questions Clean-up. Warm-up problem: 1 min. Write an inequality that puts the angles in order from largest to smallest :. Practice: Triangle Angle-Side Inequalities.
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GBK Geometry Jordan Johnson
Today’s plan • Greeting • Check HW / Questions re Asgs #40-41? • Practice problem • Homework / Questions • Clean-up
Warm-up problem: 1 min. • Write an inequality that puts the angles in order from largest to smallest:
Practice:Triangle Angle-Side Inequalities Given that ∠CDB = 65°, ∠CBD = 72°, ∠ADB = 34°, and ∠A = 87°, list the segments in the diagram in order from longest to shortest.
Distance Measurements 4100km Problem: Find the perimeter of Australia.
The Triangle Inequality • The lengths of any two sides of a triangle add up to at least as much as the length of the other. • In symbols: • For all triangles ABC, • AB + BC AC, • AB + AC BC, and • AC + BC AB.
The Triangle Inequality • The lengths of any two sides of a triangle add up to more than the length of the other. • In symbols: • For all triangles ABC, • AB + BC > AC, • AB + AC > BC, and • AC + BC > AB.
Homework • Log 25 minutes: • Asgs #41-43 • Proof: • Prove Thm. 14 • “Test Problem” from portfolio • “Problems on Geometric Figures” questions • This week’s journal: • What work did you do this week? • What did you learn? • Review your portfolio and the comments in it.What improvements can you make based on it?
Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!