Coordinate Proof Review 6 Stations Station #1
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1.
Station #2
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1. Quadrilateral QRST has vertices Q(a, b), R(0, 0), S(c, 0), and T (a + c, b). Prove that QRST is a
parallelogram.
**See Backside
Station 2 continued…
1. The coordinates of quadrilateral ABCD are A(-1, -5), B(8, 2), C(11, 13), and D(2, 6). Using coordinate
geometry, prove that quadrilateral ABCD is a rhombus.
Station #3
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1. The coordinates of the vertices of parallelogram ABCD are A(-3, 2), B(-2, -1), C(4, 1), and D(3, 4). The
slopes of which line segments could be calculated to show that ABCD is a rectangle?
a. ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐷𝐶
b. ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐵𝐶
c. ̅̅̅̅
𝐴𝐷 and ̅̅̅̅
𝐵𝐶
d. ̅̅̅̅
𝐴𝐶 and ̅̅̅̅
𝐵𝐷
**See Backside
Station #4
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1. a. Quadrilateral PAUL has coordinates P(1, 1), A(2, -1), U(-2, -3), and L(-3, -1). Prove that PAUL is a
rectangle.
b. Prove that Ryan is not a square.
Station 3 continued…
2.
Station #5
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Quadrilateral LACY has vertices L(-5, 3), A(-2, 5), C(0, 4), and Y(-6, 0).
a. Prove that LACY is a trapezoid.
b. Prove that LACY is not an isosceles trapezoid.
Station #6
Given: ∆ABC with vertices A(1, 2), B(7, 0), and C(3, -2).
Prove: ∆ABC is an isosceles right triangle
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