Answer :
Solution
Step 1
Rule for rotation 90 degrees about the origin
The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .
Step 2
Coordinates of L , M and N are given below:
L(3,1) , M(-1,6) and N(-3,2)
Step 3
The coordinate of L (3 , 1) after rotating 90 degree about the origin is L'(-1, 3).
Step 4:
The rule for reflection in the x-axis
The rule for a reflection over the x -axis is (x,y)→(x,−y) .
The coordinates L'(-1, 3) after reflected over the x-axis is L'' (-1, -3)
Final answer
L'' (-1, -3)