Question

rectangle wxyz, shown below, is translated 3 units right and 4 units up to produce rectangle wxyz.
which statement about the side lengths of quadrilateral wxyz is true?
a wx = 6 and xy = 2
b wx = 2 and xy = 6
c wx = 6 and xy = 6
d wx = 2 and xy = 2

Explanation:

Step1: Identify original rectangle vertices

From the graph: $W(-4,4)$, $X(-4,2)$, $Y(2,2)$, $Z(2,4)$

Step2: Calculate original side lengths

Length $WX$: $|4-2|=2$; Length $XY$: $|2-(-4)|=6$

Step3: Recall translation property

Translations preserve side lengths, so $W'X'=WX$, $X'Y'=XY$

Answer:

B. $W'X' = 2$ and $X'Y' = 6$