Question

A composition of transformations maps pre-image EFGH to final image E"F"G"H". The first transformation for this composition is (blank), and the second transformation is a reflection across line c. Answer choices: 180 rotation about Point G, 180 rotation about Point H, Translation down and to the left, Translation up and to the right. Please help me!

Answer 1

Translation down and to the left

Answer 2

Answer-

The first transformation for this composition is,

                               translation down and then to the left

and the second transformation is,

                              second transformation is a reflection across line c.

Solution-

As the orientation quadrilateral E'F'G'H' is same as of the EFGH, so it is neither rotated nor reflected. Though it has been slided to down, but as it is not aligned to the original image, so it must be translated left or right. In this case, it happens to be translated to left.

Then, it can be noticed that, all the vertices of E'F'G'H' are in same distance from line c as of the vertices of E''F''G''H''. Hence, it has been reflected across line c.