Question

Harvy claims that he can map rectangle ABCD to rectangle EFGH. Select all the transformations or series of transformations that support his claim.

Answer 1

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.