Answer:
c) Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion.
Step-by-step explanation:
We are given two quadrilateral ABCD and quadrilateral A'B'C'D'.
The coordinates of quadrilateral ABCD are
A(1,2), B(2,1), C(6,1) and D(6,3).
The coordinates of quadrilateral A'B'C'D' are
A(-6,2), B(-5,1), C(-1,1) and D(-1,3).
We can see that transformation rule (x,y) --> (x-7, y) is being applied in quadrilateral ABCD to get quadrilateral A'B'C'D'.
Therefore, Quadrilateral ABCD and Quadrilateral A'B'C'D' are congruent and Quadrilateral ABCD is translated 7 units left to get Quadrilateral A'B'C'D'.
Therefore, correct option is :
c) Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion.
