Coordinate Geometry
Math ⇒ Geometry
Coordinate Geometry starts at 8 and continues till grade 12.
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See sample questions for grade 8
Find the distance between the points (0, 0) and (6, 8).
Find the y-intercept of the line y = 3x + 2.
If a line passes through the points (1, 2) and (3, 6), what is its equation in the form y = mx + c?
If a point is reflected over the origin, what will be the coordinates of the image of (a, b)?
If a point is reflected over the x-axis, what will be the coordinates of the image of (7, -4)?
If a point is reflected over the y-axis, what happens to its x-coordinate?
If the coordinates of a point are (-5, 0), which axis does it lie on?
If the distance between two points is zero, what can you say about the points?
Which formula is used to find 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, y₁ - y₂)
(4) (x₁ × x₂, y₁ × y₂)
Which of the following is the correct formula for the midpoint of a segment joining (x₁, y₁) and (x₂, y₂)?
(1) ((x₁ + x₂)/2, (y₁ + y₂)/2)
(2) (x₁ - x₂, y₁ - y₂)
(3) (x₁ × x₂, y₁ × y₂)
(4) ((x₁ - x₂)/2, (y₁ - y₂)/2)
Which of the following is the correct order of quadrants in the coordinate plane, starting from the top right and moving counterclockwise?
(1) I, II, III, IV
(2) I, IV, III, II
(3) II, I, IV, III
(4) IV, III, II, I
Which of the following is the equation of a vertical line passing through (4, 7)?
(1) x = 4
(2) y = 7
(3) x + y = 11
(4) y = x + 3
Fill in the blank: The coordinates of a point are written as (______, ______).
Fill in the blank: The coordinates of the origin are (______, ______).
Fill in the blank: The equation of the x-axis is ______.
Fill in the blank: The equation of the y-axis is ______.
True or False: The equation x = 7 represents a horizontal line.
True or False: The equation y = x represents 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.
True or False: The line y = -x passes through the origin.
