Algebra: Chapter 11-4, p 495
Multiplying Radical Expressions
Remember that the `sqrt(a * b)` = `sqrt(a) * sqrt(b)` and you can’t go wrong. Make sure that you simplify and identify perfect squares. Practice makes perfect. The steps can be stated as:
- Multiplying
- Factoring to find perfect square factors
- Identifying perfect squares
- Simplify
For example:
`sqrt(3x^2) * sqrt(9x^3) = sqrt(3 * 9 *x^5) = sqrt(3 * 9 * x^4 * x)`
`= sqrt(9) * sqrt(x^4) * sqrt(3) * sqrt(x) = 3x^2 * sqrt(3x)`
Click this purplemath.com link for some more explanation and practice!
Math-8: Chapter 11-7, p 584
Quadrilaterals
Quadrilaterals are 4 sides figures, their total inside angles add up to 360°. Quadrilaterals are 4 sided figures. There are 3 types of quadrilaterals
- Quadrilaterals:have no pairs of parallel lines
- Parallelograms: have 2 pairs of parallel sides
- Trapezoids: have exactly 1 pair of parallel lines
Parallelograms are further subdivided into types
- Rectangles: parallelograms with 4 congruent sides
- Rhombus: parallelograms with congruent sides
- Square: parallelogram with congruent sides and congruent angles
If 2 figures are similar, then the angles of 1 figure are congruent to the corresponding angles of the other figure. If 2 figures are similar, then their corresponding sides are proportional.
Remember too – a square is rectangle BUT a rectangle is NOT always a square!