Question

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

Answer 1

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.

Answer 2

(x,y)→(y,−x)
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