Coordinate Geometry and Distance Formula Quiz

Test your knowledge with 17 questions on coordinate geometry covering distance, midpoint, equations, slopes, and more.

#1

What is the distance between the points (3, 4) and (6, 8)?

5
6
7
8
1 answered
#2

What is the midpoint of the line segment with endpoints (2, 5) and (8, 11)?

(5, 8)
(6, 8)
(7, 8)
(8, 8)
#3

What is the distance between the points (-3, 0) and (4, 0)?

1
3
5
7
1 answered
#4

If the slope of a line is undefined, what can be said about the line?

The line is horizontal.
The line is vertical.
The line is parallel to the x-axis.
The line is parallel to the y-axis.
#5

What is the slope of a line parallel to the y-axis?

0
1
undefined
infinite
#6

What is the slope of a horizontal line?

0
1
undefined
infinite
#7

If two points have the same x-coordinate, what can you say about their position?

They lie on the x-axis.
They lie on the y-axis.
They lie on the origin.
They lie on the line parallel to the y-axis.
#8

What are the coordinates of the point which divides the line segment joining (-3, 4) and (5, -2) internally in the ratio 2:3?

(1, -1)
(2, -2)
(3, -3)
(4, -4)
#9

What is the equation of the line passing through the points (1, 2) and (5, 6)?

y = x + 1
y = x - 1
y = 2x + 1
y = 2x - 1
#10

What are the coordinates of the midpoint of the line segment joining (-4, 3) and (6, -5)?

(1, -1)
(2, -1)
(1, -2)
(2, -2)
#11

If the distance between two points is 10 units and one of the points is (3, 4), what could be the coordinates of the other point?

(13, 14)
(6, 8)
(0, 0)
(3, 14)
#12

What is the slope of the line passing through the points (2, 3) and (6, 9)?

2
3
4
5
#13

Find the equation of the perpendicular bisector of the line segment joining the points (2, 3) and (6, -1).

x - y = -1
x + y = 1
x - y = 7
x + y = 7
#14

Find the distance between the parallel lines 2x - 3y + 4 = 0 and 2x - 3y - 7 = 0.

5
6
7
8
#15

What is the slope of a line perpendicular to the line passing through the points (-2, 4) and (3, -5)?

-5
-2
2
5
#16

Find the equation of the line passing through the point (-3, 2) and perpendicular to the line 4x + 3y = 6.

3x - 4y = 18
3x + 4y = 6
4x + 3y = 18
4x - 3y = 18
#17

What are the coordinates of the point which divides the line segment joining (-4, 5) and (6, -8) internally in the ratio 3:1?

(0, -1)
(1, 0)
(2, -2)
(3, -3)

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