Coordinate Geometry

Math ⇒ Geometry

Coordinate Geometry starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Coordinate Geometry. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 9

Find the area of the triangle with vertices at (0, 0), (4, 0), and (4, 3).

Find the coordinates of the centroid of the triangle with vertices (2, 3), (4, 7), and (6, 1).

Find the coordinates of the point that divides the segment joining (2, 3) and (8, 9) in the ratio 1:2.

Find the equation of the line parallel to y = 3x + 2 and passing through the point (1, 4).

Find the equation of the line passing through (0, 2) with a slope of -3.

Find the equation of the line passing through (1, 2) and (3, 6).

Find the length of the segment joining the points (-2, -3) and (4, 1).

Find the slope of the line 2x - 3y = 6.

Find the slope of the line passing through the points (1, 2) and (4, 8).

If a line has the equation y = -4x + 7, what is its slope?

If a line passes through the points (0, 0) and (5, 10), what is its equation?

If a line passes through the points (2, 3) and (6, 11), what is its slope?

If the equation of a line is 3x + 4y = 12, what is its y-intercept?

What is the distance between the points (3, 4) and (7, 1)?

What is the general form of the equation of a straight line in the coordinate plane?

What is the y-intercept of the line y = 3x - 7?

A line passes through the point (3, -2) and is perpendicular to the line y = -2x + 5. What is the equation of the line?

A line passes through the points (a, b) and (a, d). What is the slope of this line?

Find the coordinates of the point of intersection of the lines y = 2x + 1 and y = -x + 4.

Given the points A(1, 2), B(5, 6), and C(7, 2), determine whether triangle ABC is isosceles, scalene, or equilateral.