Question

It says to place points on them but i still don't get it. help please.

Answer 1

Answer: A'=(1, 3); B'=(-3, 4);C'=(3, 0); D'=(-2, 5)

You can check the PNG attached as well.

Explanation:

You need to represent the symmetry of every given points respet to the line

`y = 2`

In that case, the line beeing paralell to the x- axis, x- value of the symmetry is the same of the given point and y = 2 is the middle between both points.

Point A(1, 1)

`x_(A) = 1\\ x_(A') = 1 \\\\(y_(A) +y_(A') )/(2) =2\\y_(A') = 4 - y_(A) = 4 - 1 = 3`

Point B(-3, 0)

`x_(B) = 1\\ x_(B') = 1 \\\\(y_(B) +y_(B') )/(2) =2\\y_(B') = 4 - y_(B) = 4 - 0 = 4`

Point C(3, 4)

`x_(C) = 1\\ x_(C') = 1 \\\\(y_(C) +y_(C') )/(2) =2\\y_(C') = 4 - y_(C) = 4 - 4 = 0`

Point D(-2, -1)

`x_(D) = 1\\ x_(D') = 1 \\\\(y_(D) +y_(D') )/(2) =2\\y_(D') = 4 - y_(D) = 4 - (-1) = 4 + 1 = 5`