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)
