Question

Rectangle WXYZ has vertices located at W(−6, 4), X(−6,−1), Y(2,−1), and Z(2, 4) on a coordinate plane. It is translated 4 units right and 2 units down to produce rectangle W'X'Y'Z'. What is the location of the vertices of the transformed rectangle?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Rectangle WXYZ

W(−6, 4)

X(−6,−1)

Y(2,−1)

Z(2, 4)

Step 02:

Translated

4 units right ===> x + 4

2 units down ===> y - 2

W' (−6+4, 4 -2) = W' (-2, 2)

X' (−6+4,−1 - 2) = X' (-2,-3)

Y' (2+4,−1-2) = Y' (6,-3)

Z' (2+4, 4-2) = Z' (6, 2)

The answer is:

W' (-2, 2)

X' (-2,-3)

Y' (6,-3)

Z' (6, 2)