Chapter 11.4, Problem 18HP

To determine

To determine a figure on coordinate plane and reflect the figure over $y$ axis.

Explanation of Solution

Given:

Figure on coordinate plane

First draw a figure on coordinate plane,

Let’s take an example like this,

  

So, it’s a triangle with $xyz$ vertex.

Now, reflecting the figure over $y$ axis the final figure will be,

  

So, the reflected triangle with $x\text{'}y\text{'}z\text{'}$ vertex is shown above.

Conclusion:

Therefore, a figure on coordinate plane and reflect the figure over $y$ axis is a mirror image of the figure on coordinate plane.