Geometry Worksheet
Coordinate Geometry Proofs
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Coordinate Geometry Proofs
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In this worksheet, students must use coordinate geometry to complete proofs and
to answer questions about figures in the coordinate plane. |
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Sample Problems from Worksheet (diagrams not shown) |
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1) Draw a figure in the coordinate plane and write a two-column coordinate proof.
Given: Quadrilateral ABCD with A(− 5, 0), B(2, – 6), C(8, 1), D(1, 7).
Prove: ABCD is a rectangle.
4) Draw a line segment in the first quadrant that is not parallel to either axis.
Then find its reflection in the y-axis. Use a coordinate proof to show that the result is a trapezoid.
5) Prove using coordinate geometry: The midpoints of the sides of a rhombus determine
a rectangle.
6) Give an example of a theorem you think would be easier to prove using a two-column
or paragraph proof than using coordinate geometry. Explain your choice.
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