Pre-Algebra: Chapter 11-9
Transformations
There are 3 types of transformations:
- A translation is a “sliding” a figure horizontally, vertically or diagonally
- A rotation is turning a figure about a point
- A reflection is “flipping” a figure over a line
When you draw a figure and its reflection, you can create a figure that is SYMMETRIC. Where you can draw a line and have both halfs be mirror images is called the “Line of Symmetry”.
Algebra: Chapter 13-6
Solving Radical Equations
We can solve radical equations by first using the principle of squaring to find the quadratic equation. Remember, squaring a square root results in the stuff under the radical being displayed without any exponents. For example the (sqrt 27 – 3x)^2 is just 27 – 3x!
If we have formulae and you have to solve it for a given variable, treat that variable as the ONLY one, and treat the other variables as if they are constants. Manipulate the formula to isolate just that variable. See the examples on page 599 for formulae examples.
Here are some more examples for purplemath. The pages before and after this one are also pretty good review.