Four Challenge Questions

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# Four Challenge Questions - PowerPoint PPT Presentation

Four Challenge Questions. Send your solution(s) to jmorgan@math.uh.edu. 1. Single Point Identification.

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Four Challenge Questions

jmorgan@math.uh.edu

1. Single Point Identification

There are two rectangles on the right. The original one is depicted in blue. The yellow rectangle is the result of shrinking the blue rectangle in both the vertical and horizontal directions, rotating it, and repositioning it on top of the blue rectangle.

Question: Can you show that the rectangles have exactly one common point?

The solution requires trigonometry.

2. A Geometric Puzzle

This problem was given to a large group of students who had never seen geometry. Many of them solved the problem (although not immediately!!).

The Problem: Divide the circle into at least three pieces so that all pieces are the same size and shape, and at least one of the pieces does not touch the center of the circle.

The solution requires thought.

3. Parametric Motion

The Problem: Give parametric equations governing the motion of the two wheels in the figure on the right.