Question

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied to trapezoid STUV.
What will be the location of T' in the image trapezoid S'T'U'V'?

a. (18, −2)

b. (18, 2)

c. (15, −2)

d. (15, 2)

Answer 1

Answer is B. What I did was find the the amount of grids K was moved to get K’. I got (+13, -3). I used this on T to get T’(18, 2).

Answer 2

If we notice the transformation, clearly the transformation transforms every point of rectangle JKLM to a point that is 13 units right and 3 units  down.

Now, the T in STUV is at (5, 5).

If we apply the above transformation to STUV, then point T will be (5 + 13, 5 - 3) which is (18, 2) and that is T'.

Hence, location of T' in S'T'U'V' is (18, 2).