Angles and Polygons

The Midpoint Formula The midpoint “M” of a line segment with endpoints P(x 1, y 1 ) and Q(x 2, y 2 ) has coordinateskjlkjlkjlkjlkjlkjlkjlkj

The Midpoint Formula Example 1: Find the coordinates of the midpoint of the line segment joining (-8, 3) and (5, 11). Solution: The midpoint is:

The Distance Formula The distance, “d”, between points P(x 1, y 1 ) and Q(x 2, y 2 ) is given by the formula

The Distance Formula Example 1: Find the distance between the points (-3, -2) and (6, -5). Express your answer in simplest radical form. Solution:

Angles The stationary ray is called the initial side (arm) of the angle The revolving ray is called the terminal side (arm) The fixed point is the vertex initial side terminal side vertex

Angles If the direction of rotation is counterclockwise the angle is said to be a positive angle If the direction of rotation is clockwise, the angle is said to be a negative angle A positive angleA negative angle

Angles An angle has been drawn in standard position when its vertex is located at the origin and when the initial side of the angle coincides with the positive x-axis. x y Standard Position

Angles Coterminal Angles Formula If θ is an angle drawn in standard position, then, θ + n(360°) is coterminal with, where “n” is any integer.

Angles Example: Determine other angles which are coterminal to 155°. Solution: θ = 155° θ + n(360°) = 155° + 1(360°) = 515° = 155° + 2(360°) = 875° = 155° + (-1)(360°) = -205°

Homework Do #1 – 11 on page 222 from Section 7.1 and do # 1 – 17 odd #’s only, 21, 23, 25, and 37 on pages 227 and 228 from Section 7.2 for Friday June 5 th