Here are the answers for the questions provided:
Question 1 A) Quadrilateral ABCD has been translated \( x \) units to the right and \( y \) units down. (Please provide the values for \( x \) and \( y \))
Question 2 A) A regular hexagon has \( 6 \) lines of symmetry.
Question 3 A) If rectangle ABCD is translated horizontally by -4 and vertically by +3, then the coordinates of point C' will depend on the original coordinates of point C. Assuming point C has coordinates \( (x_C, y_C) \), the coordinates of C' will be \( (x_C - 4, y_C + 3) \). (Please provide the original coordinates of C to fill in the values.)
Question 4 A) Without knowing the coordinates of point R before reflection and the specific vertical line of reflection, we cannot determine the exact coordinates of point R'. If the line of reflection is at \( x = -2 \), for example, the x-coordinate will be reflected across this line. Please provide more information or choose an option from the provided list.
Question 5 A) Point P has coordinates (4, -2). After a reflection across the x-axis, the y-coordinate will change its sign, so: Coordinates of G' = (4, 2).
Question 6 A) If the line of reflection is \( x = -1 \), then the x-coordinate of F' will be reflected across this line. However, we need the original coordinates of point F. Please provide this information or select one of the options.
Question 7 A) The coordinates of point Q (-2, 2) after reflection over the y-axis will be (2, 2).
Question 8 A) The point P (-1, 2) is rotated to become P' (2, 1). This is a rotation of 90° counterclockwise.
Question 9 A) To rotate point Q(-5, -9) by -270° (which is equivalent to a 90° rotation clockwise) about the origin, the coordinates become: Q' = (y, -x) = (-9, 5). Therefore, the answer is (5, 9).
Question 10 A) Point M (0, 4) rotated about the origin by 270 degrees results in: M' = (y, -x) = (4, 0).
If you provide the missing original coordinates for some of the questions, I can help fill them in!