The x and y coordinates will beĭisplayed in the lower left hand side of the applet. The coordinates of a point on the graph can be obtained byĬlicking anywhere on the graph. To return the diver to the original orientation press "Reset". Theĭiver can be rotated about the origin by entering the value of theta in theĪppropriate textfield and then by pressing "Transform". This window shows the side view of a diver. Try out various choices of q to see the rectangular diver rotate about the origin. Thus, the rotation by degrees in the counterclockwise direction about the point We can find the 2 x 2 transformation matrix as follows. Suppose that we want to find the 2 x 2 matrix that describes rotation of the diver by 90 degrees in the counterclockwise direction. More generally rotation of the line connecting toĭegrees in the counterclockwise direction takes us to the new line connecting See what happens when we apply this transformation to every point on the diver. Īfter rotating this line by 90 degrees in the counterclockwise direction (about the point ) we Rotation of point through 90 about the origin in clockwise direction when point M (h, k) is rotated. Suppose that we want to find the 2 x 2 matrix that describes rotation of the diver by 90 degrees in theĬounterclockwise direction. Rotation Rules 90, 180, 270 degrees Clockwise
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