Name: ___________________
Period: __________
Proofs using coordinate geometry
Solve, show your work. Verify your calculations with geogebra.org
1.
2. Two airplanes depart from an airport at coordinates A (5, 2). The first airplane travels to a location at N (250, 80), and the second airplane travels to a location at P (105, -400). Each unit represents 1 mile. What is
the distance, to the nearest mile, between the two airplanes? Show your work and then describe how geogebra
can confirm your calculations.
Coordinate Geometry proofs:
3. Given: a triangle with coordinates
Prove:
is a right triangle.
4. Given: Quadrilateral A(1,-2), B(13,4),C(6,8) and D(-2,4)
Prove: ABCD is a trapezoid, but is not an isosceles trapezoid.
Name: ___________________
Period: __________
Proofs using coordinate geometry
5. Given: Quadrilateral A(5,5) , B(4,8) , C(8,6), D(7,9)
Prove: ABDC is a square.
6. Given a triangle with vertices: P (2, 4), Q (5, 8), R (9,5)
Prove: PQR is an isosceles right triangle
7. Prove that quadrilateral CATS is a rhombus given the vertices C(0,-5), A(3,0), T(0,5), S(-3,0)