Unit Two

Key Concepts

- you can use the distance formula to find the length of a line segment (d=√[(x1-x2)²+(y1-y2)²)

-the midpoint of a line segment can be found by adding half of the run and half of the rise to the coordinates of the first endpoint

- each coordinate of the midpoint of a line segment is the mean of the corresponding coordinates of the end points

- the equation to find midpoint is

HOW TO FIND EQUATION FOR MEDIAN OF A TRIANGLE

1: Find coordinates for midpoint of the side opposite to the vertex.

2; Use the coordinates of the midpoint and the vertex to calculate the slope of the median.

3: Substitute the slope and the coordinates of either point into y=mx +b to solve for the median’s y-intercept.

HOW TO FIND EQUATION FOR RIGHT BISECTOR OF LINE SEGMENT

1: Find slope and midpoint of segment.

2: Use the slope to calculate the slope of a perpendicular line.

3: Substitute this slope and the coordinates of the midpoint into y=mx+b to solve for the right bisector’s y-intercept.

- Formula for equation of a circle centred at the origin is x2+y2=r2

	Created by liyana45 over 10 years ago

High School Diploma Math Note on Unit Two- Analytic Geometry, created by liyana45 on 21/12/2013.