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Act 1

  1. Where will the arena be located?

  2. Write down a guess.


Credit Styling Wizard for the map.

Act 2

3. What information would be useful to figure this out?

4. Write down some questions you have in your head right now.


Here are two images to work with, one with a grid and one without.




Possible actions include constructions, calculating the distance between points, midpoints, and writing and graphing perpendicular equations based on the information gathered.


Here is a handout with the images.

Act 3

Standards

Common Core

  • HSG.CO.C.10 - Prove theorems about triangles.

  • HSG.CO.D.12 - Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

TEKS

  • G.5(C) - use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships

  • G.6(D) - verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

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