Answer:
Distance of AB=Distance of CD
and Distance of BC=Distance of DA
Therefore the opposite sides of rectangle ABCD are congruent to each other
Explanation:
Let ABCD be the rectangle
and the points A(4,-7), B(4,-2), C(0,-2), D(0,-7)
Now to verify that the given points can figure as a rectangle by using distance formula
Distance of AB
Let
be the points A(4,-7), B(4,-2)




Therefore d=5units
Distance of BC
Let
be the points B(4,-2) and C(0,-2)




Therefore d=4units
Distance of CD
Let
be the points C(0,-2) and D(0,-7)




Therefore d=5units
Distance of DA
Let
be the points D(0,-7) and A(4,-7)




Therefore d=4units
Therefore Distance of AB=Distance of CD
and Distance of BC=Distance of DA
Therefore the opposite sides of rectangle ABCD are congruent to each other