Question

Which of the following steps were applied to ABCD to obtain A'B'C'D?

A. shifted 2 units right and 3 units down

B. shifted 3 units right and 2 units down

C. shifted 2 units right and 4 units down

D. shifted 4 units right and 3 units down

Answer 1

Option (A)

Explanation:

In the figure attached,

Quadrilateral ABCD has been translated to get an image quadrilateral A'B'C'D'.

To get the rule by which the pre-image ABCD has been translated, we will choose a point A(1, 1) from the given pre-image.

Coordinates of point A' are (3, -2).

So the change is,

A(1, 1) → A'(3, -2)

A(1, 1) → A'[(1 + 2), (1 - 3)]

A(x, y) → A'[(x + 2), (y - 3)]

Therefore, point A has been shifted 2 units right and 3 units down.

Option (A) will be the answer.