Question

The rule is applied to trapezoid ABCD to produce the final image A"B"C"D".

Trapezoid A double-prime B double-prime C double-prime D double-prime has points (negative 4, 5), (negative 1, 5), (0, 3), (negative 5, 3).
Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.

(–1, 0)
(–1, –5)
(1, 1)
(7, 0)
(7, –5)

Answer 1

I can’t determine the pre-image coordinates from just the final A″B″C″D″ points — I need the transformation rule that was applied to ABCD (for example, “translate by (h,k)”, “rotate 90° about the origin”, “reflect across y = x”, “dilate by factor k about (a,b)”, or a composition of such steps). Could you supply the rule (or the intermediate image A′B′C′D′ or a diagram that states the rule)?

If you give the rule I’ll apply its inverse to the four A″B″C″D″ points and check which of the five listed ordered pairs match the pre-image vertices, and show the work.