Questions: Parallelogram ABCD is rotated to create image A'B'C'D'. Which rule describes the transformation? (x, y) - (y,-x) (x, y) -> (-y, x) (x, y) -> (-x,-y) (x, y) -> (x,-y)

Parallelogram ABCD is rotated to create image A'B'C'D'. Which rule describes the transformation?
(x, y) - (y,-x)
(x, y) -> (-y, x)
(x, y) -> (-x,-y)
(x, y) -> (x,-y)
Transcript text: Parallelogram $A B C D$ is rotated to create image $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$. Which rule describes the transformation? $(x, y)-(y,-x)$ $(x, y) \rightarrow(-y, x)$ $(x, y) \rightarrow(-x,-y)$ $(x, y) \rightarrow(x,-y)$
failed

Solution

failed
failed

Solution Steps

Step 1: Analyze the transformation of Point A

The coordinates of point A are (2,5). The coordinates of A' are (5,-2). This means x becomes y and y becomes -x.

Step 2: Analyze the transformation of Point B

The coordinates of point B are (5,3). The coordinates of B' are (3,-5). This means x becomes y and y becomes -x.

Step 3: Analyze the transformation of Point C

The coordinates of point C are (5,1). The coordinates of C' are (1,-5). This means x becomes y and y becomes -x.

Step 4: Analyze the transformation of Point D

The coordinates of point D are (2,3). The coordinates of D' are (3,-2). This means x becomes y and y becomes -x.

Final Answer

(x, y) → (y, -x)

Was this solution helpful?
failed
Unhelpful
failed
Helpful