Two Dimensional Analytical Geometry

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
A is an exact position or location on a plane surface.

The path traced out by a moving point under certain conditions is called the .

When a point moves in accordance with a geometrical law, its path is called .

The of a straight line is the angle, say θ, made by the line with the x-axis
measured in the counter clockwise (positive) direction.

The of a straight line is a number that measures its “direction and steepness”.

In a plane three or more points are said to be if they lie on a same straight line.

The of a line is the point at which the line crosses either the x-axis or the y-axis.

y = m x + b called the form of a straight line because m is the slope and b is the y-intercept.

Two straight lines in a plane would either be parallel or or intersect.

Normally when two straight lines intersect, they form two angles at the .

Lines in the same plane that do not intersect are called .

If these two lines are , then the angle between lines is zero or π.

y − y₁ = m(x − x₁) is callled form of a line.

m = (y₂ − y₁)/(x₂ − x₁) is callled form of a line.

x/a + y/b = 1 is callled of a line.

x cos α + y sin α = p is callled of a line.