Maddie C. Portfolio Problem

Power of a Point Problem

Geogebra Math Contest Entry by Maddie Chawner and Katie Derenthal

Wiki Problems

Page 37 #3 Wallwisher Problem

Geogabra Challenge 1/21/11

SNOWMAN!!!

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CHRISTMAS TREE!!

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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.
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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.
eq=12^2+5^2=sqrt{169}
eq=12^2+5^2=sqrt{169}

eq=sqrt{169}=13
eq=sqrt{169}=13

eq=15^2+8^2=sqrt{289}
eq=15^2+8^2=sqrt{289}

eq=sqrt{289}=17
eq=sqrt{289}=17


Drag testable triangle in square

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