Question

Select from the drop-down menus to correctly complete each statement. Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a followed by a . The figures are . Coordinate plane with x axis from negative -10 to 2 and y axis from negative 2 to 10. Quadrilateral A B C D has vertices A begin ordered pair negative 9 comma 5 end ordered pair, B begin ordered pair negative 7 comma 3 end ordered pair, C begin ordered pair negative 5 comma 4 end ordered pair, and D begin ordered pair negative 6 comma 8 end ordered pair. Quadrilateral E F G H has vertices E begin ordered pair negative 2.5 comma negative 4.5 end ordered pair, F begin ordered pair negative 1.5 comma negative 3.5 end ordered pair, G begin ordered pair negative 2 comma negative 2.5 end ordered pair, and H begin ordered pair negative 4 comma negative 3 end ordered pair.

Answer 1

This can be done with a dilation followed by a rotation.

When you plot the points and compare the coordinates, you can see that the coordinates of E, the image of A, are cut in half, the x- and y-values are swapped, and the y-value is negated.  A dilation will cut it in half, and a rotation will swap the coordinates and negate them.