Problem of the Day

Chapter 13, Lesson 12

Lionel is working with ΔPQR, which has its vertices at P(4, 1), Q(1, 2), and R(3, 5). He performed two transformations.

a. First, Lionel reflected ΔPQR over the line x = 1 to obtain its image ΔP'Q'R'. What are the coordinates of the vertices of ΔP'Q'R'?
b. Next, Lionel reflected ΔP'Q'R' over the y-axis to obtain its image ΔP''Q''R''. What are the coordinates of the vertices of ΔP''Q''R''?
c. What is the single transformation that relates ΔP''Q''R'' to the original ΔPQR?