Question

3. Line segment DC with points D(-5,6), C(-3, 4) is reflected over the line y = x then rotated 270degrees clockwise. What are the coordinates of D'C'?

Answer 1

We have the line segment DC

D(-5,6), C(-3, 4)

For the reflection over the line y=x we will follow the next rule

$\mleft(x,y\mright)\to\mleft(y,x\mright)$

The point will be

(6,-5)

(4,-3)

The for the rotation 270 degrees clockwise we will follow the next rule

$(x,y)\to(-y,x)$

The points

D'(5,6)

C'(3,4)