Question

Quadrilateral ABCD has coordinates (3, 5), (5, 2), (11, 6), (9, 9). Quadrilateral ABCD is a:

A: square because its length and width are both Square Root 10 units and adjacent sides are perpendicular.

B: rhombus because its length and width are both Square Root 10 units and adjacent sides are not perpendicular.

C: rectangle because its length is 2 Square Root 10 units, its width is Square root 10 units, and adjacent sides are perpendicular.

D: trapezoid because it has only one pair of parallel sides.

Answer 1

Distances:
AB = SQRT(9+4) = SQRT(13)
BC = SQRT(16+36) = SQRT(52)
CD = SQRT(4+9) = SQRT(13)
AD = SQRT(36+16) = SQRT(52)

So, it must be a rectangle.

Answer 2

- so i think this can be rhombus

Answer 3

Rhombus = equal sides.