Quadrilateral A'B'C'D' is a translation of quadrilateral ABCD. What is the length of B'C' ?

An image displaying quadrilateral ABCD, where AB = 7 units, BC = 3 units, CD = 4 units and AD = 6 units. Another quadrilateral A'B'C'D' is a translation of the quadrilateral ABCD. What is the length of the line B'C'.?
A.
6 units
B.
7 units
C.
3 units
D.
4 units

1 answer

Since quadrilateral A'B'C'D' is a translation of quadrilateral ABCD, the corresponding sides of the two quadrilaterals will have the same lengths. This means that:

\( AB = A'B' \)
\( BC = B'C' \)
\( CD = C'D' \)
\( AD = A'D' \)

Given that \( BC = 3 \) units, we can conclude that the length of \( B'C' \) is also \( 3 \) units.

Therefore, the answer is:

C. 3 units