Question

Quadrilateral LMNP has vertices L-4, 2), M(-3, 4), N(-1, 4), and P(-2, 2). Complete the vertices of the image of quadrilateral LMNP after a rotation of 180°

clockwise about P.

Answer 1

The vertices of the image of quadrilateral LMNP after a rotation of 180° clockwise about point P are: L'(-2, -2), M'(-3, -4), N'(-1, -4), and P'(2, -2).

Step-by-step explanation:

To find the vertices of the image of quadrilateral LMNP after a rotation of 180° clockwise about point P, we need to apply the rotation transformation to the given vertices.

The rotation of 180° clockwise will result in the reflection of the quadrilateral about the point P. To reflect a point (x, y) about the origin, we multiply the x-coordinate by -1 and the y-coordinate by -1.

Applying this reflection to the given vertices, we get the image vertices: L'(-2, -2), M'(-3, -4), N'(-1, -4), and P'(2, -2).

Therefore, the vertices of the image of quadrilateral LMNP after the rotation are: L'(-2, -2), M'(-3, -4), N'(-1, -4), and P'(2, -2).