Analytic Geometry 1
Subject 1: Points of a plane,
coordinates, slope through two points, midpoint, distance
between two points.
 Level 1 : Identify a point and its
coordinates
 Level 2 : Find the midpoint of a
segment
 Level 3 : Find an endpoint of a
segment
 Level 4 : Find the slope of a line
passing through two points
 Level 5 : Check if three points
are on the same line
 Level 6 : Find the distance
between two points
Subject 2: The line y = ax + b, the
coefficients, forming an equation.
 Level 1 : Implicit and explicit
equation
 Level 2 : The pointslope equation
of a line
 Level 3 : Equation of a line
through two points
 Level 4 : Equation of a line
parallel to a given line
 Level 5 : Equation of a line
perpendicular to a given line
 Level 6 : Intersection point of
two lines
 Level 7 : Advanced problems
Subject 3: The circle x² + y² = R²,
(x  a)² + (y  b)² = R², tangent, intersection with a
line, circle through three points.
 Level 1 : Center, radius, length
and area of a circle
 Level 2 : Equation of a circle
given the center and the radius. Checking the
location of a point: outside and inside a circle.
 Level 3 : Equation of a circle
given a diameter
 Level 4 : Equation of the tangent
at a given point
 Level 5 : Find one coordinate of a
point given the other
 Level 6 : Intersection of a circle
and a line
 Level 7 : Center of a circle
through three points
