Coordinate Geometry Concept Map

Coordinate-Geometry-Concept-Map
The Distance Formula
it is used to find the distance between two
points on the coordinate plane
Pythagorean Theorem can be used to find
the distance between two points.
The Pythagorean theorem is attributed to
Greek mathematician PYTHAGORAS OF
SAMOS
Midpoint Formula
the midpoint of a segment is a point that
divides the segment into two congruent
segments
to find the midpoint of a line, simply find
the x and y coordinates of the midpoint
to find the x coordinates
add the first and second value of x and
divide it by two
to find the y coordinates
add the first and second value of y and
divide it by two
Shortest Distance between a point and a line
the shortest distance is the one drawn
perpendicular to 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
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
Parallel & Perpendicular Lines
Two lines are parallel if they have the same
slope and different y intercepts
slope of L1 = slope L2
Two lines are perpendicular if their slopes
are opposite reciprocals
the product of their slopes is always equal
to 1
Equation of the cirle
In mathematics , CIRCLE is defined as the
set of all points equidistant from a fixed
point called center
The center C is at (h, k), r is the radius and
P(x, y) is a point on the circle.
the distance formula is used to find the
equation of the circle
thus the equation of the circle whose
center is at (h, k) and with radius r is
145 1