Question

The coordinates of LMN are L (4,5), M (5,-2), and N (0,0). If the triangle is rotated 270° about point N, what are the coordinates of M?

(-5,2)
(-5,-2)
(-2,5)
(-2,-5)

Answer 1

Answer: (-2,-5)

Explanation:

The rotation rule for rotating a figure about
`270^(\circ)` is given by :-

`(x,y)\to (y,-x)` , where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)

Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).

If the triangle is rotated 270° about point N

Then, the coordinates of M , will be :

`(5,-2)\to (-2,-5)` (Using the rule described in (1))

Hence, the coordinates of M after rotated 270° about point N=(-2,-5).