Question

Karen plotted the route of a city tour bus on a coordinate grid. It shows the route as a quadrilateral with vertices at (5, 4), (6, 7), (3, 8), and (2, 5).

Which statement about the bus route is true?
t is a square of side length 1 unit.
It is a square of side length 2sqrt2 units.
It is a square of side length sqrt10 units.
It is a square of side length 4 units

Answer 1

Side (5,4) >>>>(6,7) = root(10)
slope = (4 - 7) / (5 - 6) = 3

Side (6,7)>>>>(3,8) = root(10)
slope = (7 - 8) / (6 - 3) = -1/3

Side (3,8)>>>>(2,5 = root(10)
slope = (8 - 5) / (3 - 2) = 3

Side (2,5)>>>>(5,4) = root(10)
slope = (5 - 4) / (2 - 5) = -1/3

Answer 2

It is a square of side length sqrt10 units.