Select from the drop-down menus to correctly complete each statement. Quadrilateral ABCD can be mapped onto quadrilateral EFGH w
ith 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.
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.
Because like terms you add or subtract together to make it easier to do the problem. just like you do with whole numbers. you add an subtract to make the answer simpler.
