Question

Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1) N(3, 4) O(6, 6) P(4, 3) parallelogram rectangle rhombus square

Answer 1

rhombus

Explanation:

Answer 2

Rhombus

Explanation:

The figure is as follows :

Distance between M and N is
`\sqrt{(3-1)^(2) + (4-1)^(2) } = \sqrt{2^(2) + 3^(2) }` =
`√(4+9) = √(13)`

Distance between M and P is
`\sqrt{(4-1)^(2) + (3-1)^(2) } = \sqrt{3^(2) + 2^(2) }` =
`√(9+4) = √(13)`

Distance between N and O is
`\sqrt{(6-3)^(2) + (6-4)^(2) } = \sqrt{3^(2) + 2^(2) }` =
`√(9+4) = √(13)`

Distance between P and O is
`\sqrt{(6-4)^(2) + (6-3)^(2) } = \sqrt{2^(2) + 3^(2) }` =
`√(4+9) = √(13)`

As we can see that all the sides are equal and opposite sides are parallel

So, The correct option is - Rhombus