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Question

Parallelogram ABCD is translated (x + 3, y − 2) and then rotated 90° about the origin in the clockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations.

A	(− 5, 1)	A″	?
B	(−4, 3)	B″	?
C	(−1, 3)	C″	?
D	(−2, 1)	D″	?

Which is correct?

A″ (−1, 2), B″ (1, 1), C″ (1, −2), D″ (−1, −1) 

A″ (1, −2), B″ (−1, −1), C″ (−1, 2), D″ (1, 1) 

A″ (−2, −1), B″ (−1, 1), C″ (2, 1), D″ (1, −1) 

A″ (1, 1), B″ (−1, 2), C″ (−1, −1), D″ (1, −2)

Answer 1

Rotation 90 degrees clockwise (x,y) ---> (y,-x)

For each point, the transformations give as follows:

A(-5,1) (-2,-1) (-1,2)

B(-4,3) (-1,1) (1,1)

C(-1,3) (2,1) (1,-2)

D(-2,1) (1,-1) (-1,-1)

Clearly, the first choice is correct; with multiple choice and you're sure only 1 answer is correct, you could eliminate all the other choices immediately. But they also asked to complete the table.