Question

Find the image of (1,2) after a reflection about x=3 followed by a reflection about x=7.

Answer 1

EXPLANATION

Given the point (1,2), if we reflect the point the new image must be at the same distance from the reflective line just at the original image.

Therefore when (1,2) is reflected over x= 3 the image becomes

$(5,2)$

As the distance between line x=3 is 2 units on both sides.

When we then reflect (5,2) over x =7, using the same idea above the image becomes

Answer:

$(9,2)$