Greetings and welcome to Mathsux! Today we are going to go over reflections, one of the many types of transformations that come up in geometry. And thankfully, it is one of the easiest transformation types to master, especially if you’re more of a visual learner/artistic type person. So let’s get to it!
What are Reflections?
Reflections on a coordinate plane are exactly what you think! When a point, a line segment, or a shape is reflected over a line it creates a mirror image. Think the wings of a butterfly, a page being folded in half, or anywhere else where there is perfect symmetry.
Check out the Example below:
Practice Questions:
Solutions:
Still got questions? No problem! Check out the video above or comment below! Happy calculating! 🙂
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Now let’s look at a slightly different example:
Now let’s see how we can apply trig ratios when there is a 
. This is a simple example, where we know the value of x is equal to 2,(
). But what if it were to get more complicated? That’s where logs come in!
But wait there’s more! Logs have a certain set of 
We can use these rules to help us algebraically solve logarithmic equations, let’s look at an example that applies the Product Rule.
.
Try the following practice questions on your own!
Example: Find an equation of a line that goes through the point (-5,1) and is parallel to line y=4x+2.
Try the following practice questions on your own!
