Bell Ringer 9/13 How many diagonals can be formed in a 13 sided polygon? (n)(n-3) 2 (13)(10) = 65 2.

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The positions of the longest and shortest sides of a triangle are related to the positions of the largest and smallest angles.

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Presentation transcript:

Bell Ringer 9/13 How many diagonals can be formed in a 13 sided polygon? (n)(n-3) 2 (13)(10) = 65 2

Geometry

Today Goals Finding patterns What does invariant mean? invariant is something that does not change under a set of transformations. Finding patterns Making generalizations from concrete examples Identifying invariants so something that stays constant.

Discovering the Δ Inequality Theorem Form a triangle with 4 in. 5 in. & 8 in. straws. Is it possible? 2) Copy the data sheet into your notes 3) Try the following lengths from the data sheet and fill in the table. 4) Answer the two questions from the data sheet into your notes.

Get ready for………….. 3 pieces do form a triangle 3 pieces does not form a triangle

Can we generalize anything here about the lengths of the sides of a triangle Lets discuss

Get to the point Go ahead and summarize what you have discovered. (One or two sentences) The sum of any two sides of a triangle must be greater than the length of the third side.

Triangle Inequality Practice Problems Class / Homework ..

On your paper Copy this chart & find me three different examples which have sides lengths that form a triangle. Use a ruler to measure each straw length. (You may need to trade straw pieces with a partner to have enough different sized pieces).

Continue on your paper Now find me three different examples which have sides lengths that DO NOT form a triangle.