Answer:
Option (B) and (D)
Explanation:
To understand the relation between rectangle ABCD and EFGH take a point A from rectangle ABCD which is at E of rectangle EFGH after the series of transformations.
Horizontal distance between A and E = 2 - (-10) = 12 units
Vertical distance between A and E = 4 - 2 = 2 units
If the point A is shifted 12 units right and 2 units up we will find the point E.
Therefore, A translation of 12 right and 2 units up has been done.
Rule for the translation,
(x, y) → (x + 12, y +2)
Moreover this,
If rectangle ABCD is reflected over x = -1 and translated 2 units up, rectangle ABCD will overlap the rectangle EFGH.
Therefore, Options (B) and (D) will be the answer.