Using the coordinate plane in proof
Coordinate Proof 1
Prove that $$ XY \perp XC $$
Remember your lesson on perpendicular lines
Coordinate Proof 2
Prove that ABCD is a rectangle.
Coordinate Proof 3)
Prove that ABCD is a trapezoid that is not isosceles.
Prove that A(0,0), B (3,4) , C (7,9) and D (4,5) be a parallelogram
To solve this problem use coordinate geometry proof
2) Show all work
- The slope of AB = 4/3
- The slope of CD = (9−5)/(7−4) = 4/3
- The slope of AD = 5/4
- The slope of CB= (9 − 4)/(7− 3) = 5/4
Draw a conclusion
- AB || CD and AD || CB because both pairs of opposite sides have the equal slope.
- ABCD is a parallelogram since the opposite sides are parallel