Here are some brief notes on reflections.
The easiest way to reflect a coordinate is to take it and apply the rules.
When we reflect across the x-axis, we use the opposite of the y-value.
When we reflect across the y-axis, we use the opposite of the x-value.
Check out these drawings below!
A translation is a shift or a slide of an object around the coordinate plane. The size & the shape of the object is not changed in anyway--only the location is changed!
We translate a shape by taking each of its coordinates and adjusting them by the rule.
So, for instance, Q(1, -1) becomes Q'(-2, 3) by following the rule (x-3, y+4).
Once each coordinate is translated, we can draw our new shape!
There are four basic transformations.
1) Translation: shift, slide, push, move.
2) Reflection: mirror, flip.
3) Rotation: spin, turn.
4) Dilation: grow/shrink.
Here's a super-basic picture of all four.
Check out the notes published on Tuesday and Wednesday for help!
