Question

This room has scratches on the floor. Tyler wants to arrange this rug to cover the scratched area. He will need to flip the rug over (perform a reflection) to do this. Find a reflection that will cover the scratched area with the triangular rug. Be sure to specify the line of reflection

Answer 1

see the attached figure

A(4,8) B(0,7) C(4,3)

the line of reflection is x=5

the reflection is (x,y)-------------------> (10-x,y)

therefore

A(4,8)-----------------> A1(10-4,8)------> A1(6,8)

B(0,7)-----------------> B1(10-0,7)------> B1(10,7)

C(4,3)-----------------> C1(10-4,3)------> C1(6,3)