Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
Cumulative Practice

Exercise 7 Page 137

Reflected points are the same distance from but on opposite sides of the line of reflection before and after the reflection takes place.

B

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

We want to reflect this figure over the y-axis. To do so, we need to plot each vertex of the image X'Y'Z' the same distance from the line of reflection as its corresponding vertex on the preimage XYZ. 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 XYZ Image X'Y'Z'
Vertex Distance From the y-axis Vertex Distance From the y-axis
X(-6,-1) 6 unit left the y-axis X'(6,- 1) 6 unit right the y-axis
Y(-3,-5) 3 units left the y-axis Y'(3,-5) 3 units right the y-axis
Z(-2,-3) 2 units left the y-axis Z'(2,-3) 2 units right the y-axis

Let's do the reflection!

translation

Therefore, the correct option is B