A stained glass window is graphed on a coordinate plane with vertices at W (8,8) , X (9,4) , Y (2,−2) , and Z (4,7) A line through the longer diagonal has the equation y=(5)/(3)x−(16)/(3) How can midpoints be used to help determine whether the shape is a kite?
Answer
A
The midpoint of line segment cap x cap z is (6.5, 5.5), which is a solution to the equation for the longer diagonal, confirming a property of a kite.
B
The midpoint of line segment cap w cap y is (5, 3), which is a solution to the equation for the longer diagonal, so the shape cannot be a kite.
C
The midpoint of line segment cap x cap z is (6.5, 5.5), which is a solution to the equation for the longer diagonal, so the shape cannot be a kite.
D
The midpoint of line segment cap w cap y is (5, 3), which is a solution to the equation for the longer diagonal, confirming a property of a kite.