Question

I need help with this please! This is Geometry :)

Answer 1

16.

Answer:

The coordinates of the image points are;

`\begin{gathered} F^(\prime)(-3,0) \\ G^(\prime)(-3,2) \\ U^(\prime)(1,4) \\ W^(\prime)(1,2) \end{gathered}`

Step-by-step explanation:

We want to find the coordinates of the image of given shape after 90 degree counterclockwise rotation.

The rule for 90 degree counterclockwise rotation about the origin can be written as;

`(x,y)\rightarrow(-y,x)`

Firstly, let us write out the coordinates of the preimage points;

`\begin{gathered} F=(0,3) \\ G=(2,3) \\ U=(4,-1) \\ W=(2,-1) \end{gathered}`

We can now apply the rule to determine the coordinates of the image points;

`\begin{gathered} (x,y)\rightarrow(-y,x) \\ F(0,3)\rightarrow F^(\prime)(-3,0) \\ G(2,3)\rightarrow G^(\prime)(-3,2) \\ U(4,-1)\rightarrow U^(\prime)(1,4) \\ W(2,-1)\rightarrow W^(\prime)(1,2) \end{gathered}`

Therefore, the coordinates of the image points are;

`\begin{gathered} F^(\prime)(-3,0) \\ G^(\prime)(-3,2) \\ U^(\prime)(1,4) \\ W^(\prime)(1,2) \end{gathered}`