When a shape is rotated, it must be rotated through a point.
- 90 degrees counterclockwise rotation negates the y-coordinates, and then swap the x and y-coordinates
- Chanel is incorrect
The rule of 90 degrees counterclockwise is:
[tex](x,y) \to (-y,x)[/tex]
This means that:
- The y-coordinate is negated
- Then the y and x coordinates are swapped
However, Charlies transformation is incorrect.
- This is so because, the shape was not rotated, but instead it was reflected across the x-axis.
- Then, the shape was dilated
Using points L and Q
[tex]L=(1,1)[/tex]
When L is reflected across the x-axis.
The rule is:
[tex](x, y) \to (x, -y)[/tex]
So, we have:
[tex](1, 1) \to (1, -1)[/tex]
Next, it is dilated by 2.
The rule of this is:
[tex](x,y) \to k(x,y)[/tex]
So, we have:
[tex](1,1) \to2 \times (1,-1)[/tex]
[tex](1,1) \to (2,-2)[/tex]
From the diagram, the coordinate of Q is:
[tex]Q = (2,-2)[/tex]
Same as the calculated point
Hence, Chanel is incorrect
Read more about transformation at:
https://brainly.com/question/11709244
