Points C, D, and E are graped above. [br]The line [math]f\left(x\right)=-x[/math] or [math]y=-x[/math] is graphed aboved.[br]Reflect points C,D, & E over the line.[br]1) Click on the "reflection about line" tool[br]2) Click on the line of reflection then[br]3) Click on the point you want to reflect[br]These steps should plot the pre-images C', D' and E'.
Observation
What do you notice about the pre-image and image coordinates?[br]Based on your observations, write a rule describing how the coordinates change when reflected over the line [math]f\left(x\right)=-x[/math] .
PRACTICE: f(x) = -x reflections
Use the graph below to answer the questions that follow.
Question 1
Trapezoid MNOP has vertices at M(1, 0) N(7, 0) O(5, 3) P(3, 3)[br]What are the coordinates of Trapezoid M'N'O'P' given a reflection across the line f(x) = -x?
Question 2
Triangle XYZ has vertices at X(8, 8) Y(8, 0) Z(4, 0)[br]What are the coordinates of Triangle X'Y'Z' given a reflection across the line f(x) = -x?