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)

Verified Answer :

(x,y)→(y,−x)


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Answer:

The correct option is 4.

Step-by-step 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.