Chapter+1

= = =Chapter 1=

__What is there to know about...__ A **__rotation__** is a turn. One turn is 90 degrees, 2 turns is 180 degrees, 3 turns is 270 degrees, and 4 turns is 360 degrees. A figure has rotational symmetry if it can be rotated any measure less than 360 degrees and it returns to its original shape. To find the degree of **rotational symmetry** in a regular figure (equal sides and angles), take 360 and divide it by the number of sides. This formula also works to find the measure of the central angle.
 * Rotations, Reflections and Translations**

A __**reflection**__ is a flip over a line of reflection. It is easy to fold your paper to see what the resulting reflection will look like. A heart for example has a line of reflection down the middle - each side is the same. A figure has **reflection symmetry** if you can draw a line through the figure and both sides are exactly the same.

A __**translation**__ is a slide. It can go up, down, right, left or diagonally. An example is a person who steps on the conveyor belt at the airport and is moved from one position to a new position. On the coordinate plane, count up/down and left/right to obtain new coordinates after a reflection. If you have the coordinates after a reflection has been done on a figure - go backwards to find the original.


 * Probability**: To find the probability of something happening, take the number of matches divided by the total number. For example, the probability of obtaining a 1 on a standard die would be 1/6 because there is one 1, and 6 total numbers (1,2,3,4,5,6).


 * Shapes**: Refer to your toolkit on shapes for all of the characteristics of shapes, including quadrilaterals, hexagons and pentagons, triangles, and the circle.


 * Slope**: In y = mx + b, slope is the m. to find it on a graph, choose 2 points. Count up (positive) or down (negative) how many units to get to the next point and put that number on top of a fraction. Count left(neg) or right (pos) the # of units to get to the next point and put that on the bottom. Reduce if necessary! From a formula, with 2 points, take y2 - y1 divided by x2-x1. Slope is always written as a number or fraction.

Area= (length)( width) Supplementary= 180 Complementary= 90


 * Solving Equations** Be careful for equations that result in a false statement in the end (NO SOLUTION!) or a true statement in the end (ALL REAL #S or INFINITE SOLUTIONS)