## Coordinate Geometry Concept Map

A system of geometry where the position of points on the plane is described using an ordered pair of numbers.

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Coordinate-Geometry-Concept-Map

The Distance Formula

it is used to find the distance between twopoints on the coordinate plane

Pythagorean Theorem can be used to findthe distance between two points.

The Pythagorean theorem is attributed toGreek mathematician PYTHAGORAS OFSAMOS

Midpoint Formula

the midpoint of a segment is a point thatdivides the segment into two congruentsegments

to find the midpoint of a line, simply findthe x and y coordinates of the midpoint

to find the x coordinates

add the first and second value of x anddivide it by two

to find the y coordinates

add the first and second value of y anddivide it by two

Shortest Distance between a point and a line

the shortest distance is the one drawnperpendicular to the line.

Equation of the cirle

In mathematics , CIRCLE is defined as theset of all points equidistant from a fixedpoint called center

The center C is at (h, k), r is the radius andP(x, y) is a point on the circle.

the distance formula is used to find theequation of the circle

thus the equation of the circle whosecenter is at (h, k) and with radius r is

Parallel & Perpendicular Lines

Two lines are parallel if they have the sameslope and different y intercepts

slope of L1 = slope L2

Two lines are perpendicular if their slopesare opposite reciprocals

the product of their slopes is always equalto 1

Graphing Linear Equations

we can graph linear equations using

x and y intercepts

a point and slope of the line

two points of the line

Equation of the Line

linear equations can be written in 3 forms

Standard Form : Ax + By = C

General Form : Ax + By + C = 0

Slope Intercept Form : y = mx + b