Question

what is the coordinate of L’’ if LMN with L(3,1)M(-1,6)and N(-3,2)is rotated 90* about the orign and then reflectedin the x axis

Answer 1

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)