Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?
A.
3 units
B.
5 units
C.
9 units
D.
11 units

Question

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?
A. 
3 units
B. 
5 units
C. 
9 units
D. 
11 units

Mercury · Answer

thoughts? as a major hint, translating a shape vertically or horizontally does *not* change the side lengths. so the length of B'C' = the length of BC

to determine the length of BC, sketch the rectangle ABCD and label the given sides. once you keep in mind that opposite sides of a rectangle are congruent, the solution should be clear.