Page 2 #4
Draw a 20-by-20 square ABCD. Mark P on A B so that AP=8, Q on BC so that BQ=5,Ron CD so that CR=8,and S on DA so that DS=5. Find the lengths of the sides of the quadrilateral PQRS. Is there anything special about this quadrilateral? Explain.

To solve this problem I used Pythagorean Theorem. First, I graphed all of the information that I knew. Next, I found all of the lengths between AP,PB,BQ,QC, CR,RD, DS,and SA. After that I used the Pythagorean Theroem on all of the inner triangles to find the length of the inner quadrilateral.

## Table of Contents

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Maddie C. Portfolio ProblemPower of a Point ProblemGeogebra Math Contest Entry by Maddie Chawner and Katie DerenthalWiki Problems## Page 37 #3 Wallwisher Problem

## Geogabra Challenge 1/21/11

## SNOWMAN!!!

## CHRISTMAS TREE!!

Page 2 #4Draw a 20-by-20 square ABCD. Mark P on A B so that AP=8, Q on BC so that BQ=5,Ron CD so that CR=8,and S on DA so that DS=5. Find the lengths of the sides of the quadrilateral PQRS. Is there anything special about this quadrilateral? Explain.

To solve this problem I used Pythagorean Theorem. First, I graphed all of the information that I knew. Next, I found all of the lengths between AP,PB,BQ,QC, CR,RD, DS,and SA. After that I used the Pythagorean Theroem on all of the inner triangles to find the length of the inner quadrilateral.

Drag testable triangle in square