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High School Geometry
High School Geometry
Math

 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 0641564)
1.

When two congruent polygons are joined so that two sides are put together (one side of each polygon is matched with one side of the other polygon) to create a new larger polygon, how many sides does the new polygon have? Explain why your rule works. Consider each original polygon to have n sides.

2.

During a local math Olympiad the team from Bigtown High School was presented with the following problem to solve in no more than 2 minutes: "What is the relationship between the number of vertices of a regular polygon and the number of symmetry lines of the polygon?" They did it! What was their answer?

3.

Can a polygon be equiangular, equilateral, and concave all at the same time? If so, draw an example? Otherwise, explain why not.

4.

If a polygon is equiangular, does that mean it is a regular polygon? Explain.

5.

State whether the figure is a polygon. If it is, identify the polygon and state whether it is convex or concave. If it is not, explain why.

6.

State whether the figure is a polygon. If it is, identify the polygon and state whether it is convex or concave. If it is not, explain why.

7.

Can a slice of pizza be considered a polygon? Explain.

8.

A polygon can be either convex or concave. Draw an example of each. Show how the diagonals test or the line test is used to illustrate the convexity or concavity or your polygons.

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