Answer:
Q' = (-4, -2)
R' = (4, -2)
S' = (4, 2)
T' = (-4, 2)
Step-by-step 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:
[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right][/tex]
Moved to the origin:
[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right][/tex]
Multiplied by four:
[tex]\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right][/tex]
This gives us the points of
Q' = (-4, -2)
R' = (4, -2)
S' = (4, 2)
T' = (-4, 2)
which are our answers.
