Question

Figure ABCD is a rhombus with point A (3, −1). What rule would rotate the figure 270° counterclockwise?

(x,y)→(−y,−x)
(x,y)→(−y,x)
(x,y)→(y,x)
(x,y)→(y,−x)

Answer 1

(x,y)→(y,−x)
.......

Answer 2

The correct option is 4.

Explanation:

Given information: ABCD is a rhombus with point A (3, −1).

If a figure rotated 90° counterclockwise, then

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

If a figure rotated 180° counterclockwise, then

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

If a figure rotated 270° counterclockwise, then

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

Therefore the rule
`(x,y)\rightarrow (y,-x)` would rotate the figure 270° counterclockwise.

The correct option is 4.