Question

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) (4 points)

Answer 1

rhombus

Explanation:

I took the quiz and got the question correct. Rhombus is the correct answer.

Answer 2

check the slopes
the first 2 points have slope (3-1) / (5-1) = 2/4 = 1/2
points 2 and 3 slope = 4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope = 4/2 = 2

so we have 2 pairs of opposite sides which are parallel

looks like a parallelogram or a rhombus

if adjacent sides are equal its a rhombus

length betwee pts 1 and 2 = sqrt(2^2 + 4^2) = sqrt20
.. ... ... .. .. .. ...2 and 3 = sqrt(4^2 + 2^2) = sqrt20

so it is a rhombus