Question

Jaden and Jimmy answered the following question, but they got different answers. Who is correct? Explain why.

Rotate the points 90° about the origin.
Q(2, -3) - Q'(?)
B(-1,9) - B'(?)
a) Jimmy: Q(2, -3) - Q'(3, 2); Jaden: B(-1,9) - B'(-9, -1)
b) Jimmy: Q(2, -3) - Q'(-3, -2); Jaden: B(-1,9) - B'(-9, -1)
c) Jimmy: Q(2, -3) - Q'(?); Jaden: B(-1,9) - B'(?)
d) Jimmy and Jaden are both incorrect.

Answer 1

Jimmy and Jaden both partially answered correctly. Jimmy correctly identified the rotation of point Q, while Jaden accurately found the rotation of point B. Neither got both points correct.

Step-by-step explanation:

The student is asking about the result of rotating points 90° about the origin in a coordinate plane. The correct method to rotate a point (x, y) 90° counterclockwise around the origin is to switch the x and y values and change the sign of the new x value to get the point (-y, x). Let's check Jaden and Jimmy's answers.

For point Q(2, -3), the correct rotation would be Q'(-(-3), 2), which simplifies to Q'(3, 2). Therefore, Jimmy got the correct answer for Q, but he made a mistake in his B coordinate.

For point B(-1,9), the correct rotation would be B'(-9, -1). This time, Jaden got the correct answer for point B.

So, neither Jimmy nor Jaden is completely correct since Jimmy got the Q point right and Jaden got the B point right.