Trapezoid TUWW with vertices T(-18,3),U(0,9),V(-6,6),W(-15,-9),k=1/2 r( U'( V(square W'(

To find the coordinates of the vertices of the trapezoid TUWW after a dilation with a scale factor of k=1/2, we need to multiply the coordinates of each vertex by the scale factor.<br /><br />Given:<br />T(-18,3)<br />U(0,9)<br />V(-6,6)<br />W(-15,-9)<br /><br />Step 1: Find the coordinates of T' after dilation.<br />T' = (-18 * 1/2, 3 * 1/2) = (-9, 3/2)<br /><br />Step 2: Find the coordinates of U' after dilation.<br />U' = (0 * 1/2, 9 * 1/2) = (0, 9/2)<br /><br />Step 3: Find the coordinates of V' after dilation.<br />V' = (-6 * 1/2, 6 * 1/2) = (-3, 3)<br /><br />Step 4: Find the coordinates of W' after dilation.<br />W' = (-15 * 1/2, -9 * 1/2) = (-7.5, -9/2)<br /><br />Therefore, the coordinates of the vertices of the trapezoid TUWW after dilation with a scale factor of k=1/2 are:<br />T'(-9, 3/2)<br />U'(0, 9/2)<br />V'(-3, 3)<br />W'(-7.5, -9/2)