Unit Two- Analytic Geometry

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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

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