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.

If the slope of a line is 1, which of the following equations could represent the line? (1) y = x + 2 (2) y = 2x - 1 (3) y = -x + 3 (4) y = x - 4

Which of the following is the correct formula for the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃)? (1) 1/2 |x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)| (2) (x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3 (3) √[(x₂ - x₁)² + (y₂ - y₁)²] (4) (x₁y₂ + x₂y₃ + x₃y₁)

Which of the following is the correct formula for the distance between two points (x₁, y₁) and (x₂, y₂)? (1) |x₁ - x₂| + |y₁ - y₂| (2) √[(x₂ - x₁)² + (y₂ - y₁)²] (3) (x₁ + x₂)/2, (y₁ + y₂)/2 (4) (x₁ - x₂)² + (y₁ - y₂)²

Which of the following is the equation of a line passing through the origin? (1) y = 2x + 3 (2) y = -x (3) y = 4x - 1 (4) y = x + 5

If a line has a slope of 0, it is _______.

If the coordinates of a point are (x, y), then after reflection in the origin, the coordinates become _______.

If the coordinates of a point are (x, y), then the reflection of this point in the y-axis is _______.

If the distance between two points is zero, then the points are _______.

True or False: The equation x = 4 represents a vertical line.

True or False: The equation y = 0 represents the x-axis.

True or False: The equation y = x is a line passing through the origin at a 45-degree angle to the x-axis.

True or False: The line y = 5 is parallel to the x-axis.