1. Translate this figure to move point P onto P'. 2. Rotate this figure 90 degrees counterclockwise around point P.

1. Translate this figure to move point P onto P'. 2. Rotate this figure 90 degrees counterclockwise around point P.

Answer

For problem 1, to translate the figure so that point P moves onto P', count the horizontal and vertical distance from point P to point P' on the grid. Based on the grid, from the original point P, count how many units right and how many units up to reach P'. Apply this exact same vector of translation to all other vertices of the original parallelogram to draw the translated figure. For problem 2, to rotate the blue figure 90 degrees counterclockwise around point P, use point P as the center of rotation. For each vertex of the parallelogram, imagine a line segment connecting it to point P, rotate that segment 90 degrees counterclockwise (which means turning it counterclockwise by a right angle while keeping the distance to point P the same), and plot the new vertices to form the rotated figure.