when you're rotating a trapezoid that's in quadrant 4 90 degrees, does the trapezoid goes in quadrant 2 and the coordiantes switch?

also, does the trapezoid goes in quadrant 1 when rotating 180 degrees?

I really need an answer!!!!!!!

I really need an answer!Why are no one answering?

I think that's the answer. Is this right?

When you rotate a shape, such as a trapezoid, the rotation causes the shape to change its position and orientation in the coordinate plane. Let's go through the process step by step:

1. Quadrant 4 to Quadrant 2, 90 degrees rotation:
- To rotate the trapezoid 90 degrees clockwise, you first need to choose a point as the center of rotation. This could be any point, but let's assume it's the origin (0, 0) for simplicity.
- Then, for each vertex (point) of the trapezoid, you can calculate the new coordinates using the rotation formula:
- Let's say we have a vertex with the original coordinates (x, y).
- To rotate it 90 degrees clockwise, you can use the following formulas to find the new coordinates (x', y'):
- x' = y
- y' = -x
- Applying these formulas to each vertex will give you the new coordinates of the trapezoid after the 90-degree rotation.
- The resulting trapezoid will indeed be located in Quadrant 2, and the coordinates will switch accordingly.

2. Quadrant 4 to Quadrant 1, 180 degrees rotation:
- Similarly, to rotate the trapezoid 180 degrees clockwise (or counterclockwise), you will still need to choose a center of rotation.
- Again, assuming the origin (0, 0) as the center, you can use the rotation formulas mentioned above.
- Applying these formulas will give you the new coordinates (x', y') for each vertex of the trapezoid after the 180-degree rotation.
- As a result, the trapezoid will be located in Quadrant 1 after the rotation.

Remember, when rotating a shape, it's crucial to define the center of rotation and use the appropriate rotation formulas to calculate the new coordinates.