Question

a line segment with points p(1 2) and q(4 3) is reflected across the line y=x. What are the new coordinates of the points of the line segment? Please show work!

Answer 1

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Explanation:

we know that

When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.

so

The rule of the reflection of a point across the line y=x is

(x,y) -----> (y,x)

we have

Points p(1,2) and q(4,3)

Applying the rule of the reflection across the line y=x

p(1,2) ------> p'(2,1)

q(4,3) -----> q'(3,4)

therefore

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)