4.2 Reflections

True or False: When a point is reflected across a line of symmetry, it remains the same distance from that line.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be? #15

Level 1: What is this transformation?

(x, y) →(-x, y)

Triangle XYZ is reflected across the y-axis. If (x,y) are the coordinates of one of its vertices, which ordered pair represents the reflected vertex? #14

What changes when an ordered pair, or point, is reflected across the y-axis?

What is the Algebraic Notation for this Reflection? #6

What is the rule for the reflection over the line y=x?

What are the coordinates of the image of vertex G after a reflection across the line y = x? #20

What are the coordinates of the image of vertex F after a reflection across the line y = –x? #19

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)? #21

How many lines of symmetry does this shape have? #33

How many lines of symmetry does the butterfly have? #37

How many lines of symmetry does this trapezoid have? #40