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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Cumulative Practice

Exercise 11 Page 233

How can you move the red figure so that it becomes the blue figure?

H

We are given two congruent figures on a coordinate plane and we want to find the sequence of rigid motions between the figures. Let's take a look at the given graph.

We want to know how we should move the red figure to get the blue figure. First of all, we can see that the blue figure is on the opposite side of the y-axis. This means we can try to reflect the red figure in the y -axis.

Next, we can tell that the blue figure is below the red one. We can also see that there are 4 units between the vertex on the base of the red figure and the base on the vertex of the blue figure. This means we can translate the red figure 4 units down.

The red triangle moved to the same place as the blue one! We made two transformations to get from the red figure to the blue one.

Reflection of the red triangle in the y -axis.
Translation of the red triangle after the reflection 4 units down.

This corresponds to option H.

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