Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
2. Reflections
Continue to next subchapter

Exercise 16 Page 467

Reflected points are the same distance from opposite sides of the line of reflection.

Graph:

Vertices: H'(1,3), I'(1,- 1), J'(- 2,- 2), K'(-2,2)

Practice makes perfect

Let's start by plotting the given points and connecting them to draw our parallelogram.

We want to reflect this figure over the y-axis. To do so, we need to plot each vertex of the image H'I'J'K' the same distance from the line of reflection as its corresponding vertex on the preimage HIJK. Because our line of reflection is the y-axis, this will change the sign of the x-coordinates of the points, but the y-coordinates will remain unchanged.

Preimage HIJK Image H'I'J'K'
Vertex Distance From the y-axis Vertex Distance From the y-axis
H(- 1,3) 1 unit left the y-axis H'(1,3) 1 unit right the y-axis
I(-1,-1) 1 unit left the y-axis I'(1,- 1) 1 unit right the y-axis
J(2,-2) 2 units right the y-axis J'(-2,- 2) 2 units left the y-axis
K(2,2) 2 units right the y-axis K'(-2,2) 2 units left the y-axis

Let's do the reflection!

translation