Question

What's the answer to this?

Answer 1

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

Explanation:

First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.

Our initial matrix to multiply:

`4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right]`

Moved to the origin:

`4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right]`

Multiplied by four:

`\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right]`

This gives us the points of

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

which are our answers.