SOLUTION: Use analytic geometry to classify the quadrilateral with vertices D(10,0), E(2,4), F(-8,-6), and G(6,-8). Explain your reasoning and show all your work.

SOLUTION: Use analytic geometry to classify the quadrilateral with vertices D(10,0), E(2,4), F(-8,-6), and G(6,-8). Explain your reasoning and show all your work.

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Question 177776: Use analytic geometry to classify the quadrilateral with vertices D(10,0), E(2,4), F(-8,-6), and G(6,-8). Explain your reasoning and show all your work.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Looks like a kite.
If it is then,

Use the distance formula,

For DE,

For DG,

.
.
.
For FE,

For FG,

.
.
.
We have have proved that the classification is a kite because,

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