Introduction To Coordinate Geometry Flashcards
what is plane geometry?
the study of geometrical shapes in a plane.
what is coordinate geometry?
the study of geometrical shapes on a Cartesian plane or coordinate plane
what is Cartesian Plane?
page 146 & 169
derive distance formula?
if a point lies on x axis & y axis what are its coordinates?
X(a,0)
Y(0,b)
what are collinear & non-collinear points?
how to verify if certain points form a square?
Step 1:find the distance b/w the point to check if they are equal.
Step 2: if equal, then it can be rhombus, so verify if it is 90 by drawing a diagonal AC & finding its distance.
Step 3: apply Pythagoras theorem. if both sides = then it is a square
how to verify if certain points form a rectangle?
Step 1:find the distance b/w the point to check if opposite sides are equal.
Step 2: it can be a parallelogram, so draw a diagonal AC and find its distance
Step 3: apply Pythagoras theorem. if both sides = then it is a rectangle
how to verify if certain points form a parallelogram?
Step 1: find the distance b/w the points to check if opposite sides are equal.
how to verify if certain points form an isosceles triangle?
Step 1: find the distance b/w the points to check if 2 points are equal & one isn’t
how to verify if certain points form a right angled triangle?
Step 1: find the distance b/w the points.
Step 2: apply them to Pythagoras theorem
if equal then it’s a right angled triangle.
the points (coordinates) L, M & N are collinear if ______________?
|LM|+ |MN|= | LN|
|| what does this mean?
the non-negative value of x without regard to its sign
distance
three points P, Q & R forming a triagle are non collinear if & only if ______________?
|PQ|+ |QR|>|PR|
what is abscissa & ordinate?
abscissa: x-coordinate
ordinate: y-coordinate
