Use the image to answer the question.Solid lines form a triangle by joining three plotted points located in quadrants 2 and 3 and on the x-axis on a coordinate plane. The points are labeled upper J, upper M, and upper H.​△JMH is rotated −270 degrees (clockwise) about the origin. Apply rotation mapping rules to find the image of H.(1 point)H′(,)

1 answer

To perform a rotation of \(-270^\circ\) (which is equivalent to a \(90^\circ\) clockwise rotation) around the origin, we can use the rotation mapping rules, which are as follows:

For a point \((x, y)\):

  • After a \(90^\circ\) clockwise rotation, the new coordinates will be \((y, -x)\).

Let’s denote the coordinates of point \(H\) as \((x_H, y_H)\).

Applying the rule:

  • The new coordinates \(H'\) will be \((y_H, -x_H)\).

To provide a specific numerical answer for \(H'\), I would need the original coordinates of point \(H\). Please provide those coordinates so I can calculate the image \(H'\).