Question

The vertices of a rectangle are given in the columns of the matrix (picture 1).

If (picture 2) is found to perform a transformation, what are the coordinates of the transformed rectangle?

(0, 0), (0, 18), (18, 18), (18, 0)
(0, 0), (18, 0), (18, –18), (0, –18)
(0, 0), (–18, 0), (–18, –18), (0, –18)
(0, 0), (18, 0), (18, 18), (0, 18)

Answer 1

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Explanation:

Mathhhh

Answer 2

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Explanation:

∵ The vertices of the rectangles are:

(0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 ×
`\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]` × R

∴ That is mean The rectangle rotate 270° around the origin

(270° anti-clockwise or 90° clockwise)

and enlargement by scale factor 3