Question

The point (-3, -1) is rotated 90° clockwise around center (0,0). What are the coordinates of the transformed point?

Answer 1

Answer:

The coordinates of the transformed point are: (-1, 3)

Step-by-step explanation:

Given that the point (-3, -1) is rotated 90° clockwise around the center (0, 0).

Important Tip:

• In Mathematics, when we rotate a point 90 degrees clockwise direction around the center (0,0), we flip the places of x and y coordinates and reverse the sign of x coordinate.

Let the coordinates of the point M(x, y).

Therefore, the general rule to rotate a point 90 degrees clockwise direction around the center (0,0) is:

M(x, y) → M'(y, -x)

where M'(y, -x) is the transformed point.

In our case,

The point (-3, -1) is rotated 90° clockwise around center (0,0)

• Let the point (-3, -1) be named P(-3, -1)

Using the general rule to rotate a point 90 degrees clockwise direction around the center (0,0).

M(x, y) → M'(y, -x)

P(-3, -1) → P'(-1, -(-3)) → P'(-1, 3)

Therefore, the coordinates of the transformed point are: (-1, 3)