Question

Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).

Answer 1

To find the image of triangle WXY after the transformation R0, –90°(x, y), we need to rotate the triangle 90 degrees counterclockwise around the origin.

The points of triangle WXY are:
- W (-4, -1)
- Y (-2, -1)
- X (-4, -4)

When we apply a 90-degree counterclockwise rotation to a point (x, y), the new coordinates (x', y') can be determined using the rotation formula:
- x' = -y
- y' = x

Now, let's apply this transformation to each point:

1. For W (-4, -1):
- x' = -(-1) = 1
- y' = -4
- Thus, W' = (1, -4)

2. For Y (-2, -1):
- x' = -(-1) = 1
- y' = -2
- Thus, Y' = (1, -2)

3. For X (-4, -4):
- x' = -(-4) = 4
- y' = -4
- Thus, X' = (4, -4)

Now we have the transformed points:
- W' (1, -4)
- Y' (1, -2)
- X' (4, -4)

Now we can compare this with the given options:

1. The first option is not correct.
2. The second option is not correct.
3. The third option is not correct.
4. The fourth option is not correct.

It seems I made a mistake in computing the rotation. Let me fix that:

For point W (-4, -1):
- After rotation:
- W' = (1, -4)

For point Y (-2, -1):
- After rotation:
- Y' = (1, -2)

For point X (-4, -4):
- After rotation:
- X' = (4, -4)

On reevaluation, we need to check if (Y', W', X') reflect the correct transformations.

From options see that after checking the transformed points, they aren't matching the described options.

The correct answer to this transformation might need us reflect back onto original new coordinates after rechecking our options with focused point-location matching for better visibility.

In this case since none of the correspondences are look accurate could lead take re-examined listings or provide against values labelled.

Thus, probably continuing those signifies the triangle alterations through confirmed checks would mean output reflections landed elsewhere.

In summary, you would want to write or trace through either listed conclusion on mappings backtracked to make sure appearance confirms reflected into placed coordinates observed.

Let me know if additional confirmation or details are required alongside analyses.