Question

The vertices of / are K(–1, 4), L(8, 3), and M(4, –1). / is rotated 270° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?

Answer 1

K(-1, 4) becomes K(1, 4)

L(8, 3) becomes L(3, -8)

M(4, -1) becomes M(-1, -4)

Answer 2

The vertices of K'L'M' are K'(4,1),L'(3,-8) and M'(-1,-4).

Explanation:

We are given that

The vertices of triangle KLM are K(-1,4),L(8,3) and M(4,-1).

When the triangle is rotated 270 degrees counterclockwise about the origin to form K'L'M'.

We have to find the vertices of K'L'M'.

When figure is rotated 270 degrees counterclockwise about the origin then the transformation rule is given by

`(x,y)\rightarrow (y,-x)`

By using this rule

The coordinates of K' (4,1)

The coordinates of L'(3,-8)

The coordinates of M'(-1,-4)

Hence, the vertices of K'L'M' are K'(4,1),L'(3,-8) and M'(-1,-4).