On the same sheet of graph paper, graph the line with equation (Hint: (0,0) and y = –x. (1,–1) lie on this line.) Now reflect over the line = Again, write down the PQRS y –x. new coordinates. (____,____) (____,____) (____,____) Q P’ ‘(____,____) R’ S’ Explain what happens to both the and when reflected over the the x- y-coordinates x-axis, the line = and the line = y-axis, y x y –x. Write your conclusions from (f) in the form of mapping rules. Fill in the blanks: Reflection over the (x, x-axis: y) Reflection over the (x, y-axis: y) Reflection over = (x, y x: y) Reflection over = (x, y y) –x: Construct a triangle anywhere on the coordinate plane and test your conjectures from the previous question. What are the coordinates of your triangle? Were your conjectures confirmed?
On the same sheet of graph paper, graph the line with equation y = –x. (Hint: (0,0) and (1,–1) lie on this line.) Now reflect PQRS over the line y = –x. Again, write down the new coordinates. P’ (____,____) Q ‘(____,____) R’ (____,____) S’ (____,____) Explain what happens to both the x- and y-coordinates when reflected over the x-axis, the y-axis, the line y = x and the line y = –x. Write your conclusions from (f) in the form of mapping rules. Fill in the blanks: Reflection over the x-axis: (x, y) Reflection over the y-axis: (x, y) Reflection over y = x: (x, y) Reflection over y = –x: (x, y) Construct a triangle anywhere on the coordinate plane and test your conjectures from the previous question. What are the coordinates of your triangle? Were your conjectures confirmed?
Activity_1_4_2.docx