Question

Martin wants to use coordinate geometry to prove that the opposite sides of

a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that A is (0,0), B is (a,0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from point D to point A?

Answer 1

Option (B)

Explanation:

Coordinates of the vertices of the rectangle were A(0, 0), B(a, 0), C(a, b) and D(0, b)

Formula to determine the distance between two points with the vertices (x, y) and (x', y') is,

d =
`√((x-x')^2+(y-y')^2)`

For the length of AD,

AD =
`√((0-0)^2+(b-0)^2)`

=
`√(b^2)`

= b

Therefore, Option (B) will be the answer.