Free Printable Basic Coordinate Geometry

1.

Find the gradient of the line joining the points A(2, -3) and B(-3, 2).

a)

1

b)

-1

c)

5

d)

-5

2.

Name the quadrant where point C is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

No Quadrant

3.

What is the name of the point where horizontal and vertical axes meet?

a)

Abscissa

b)

Ordinate

c)

Coordinate

d)

Origin

e)

Plane

4.

In which quadrant do the point (-3,-5) lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

Which point lies on the x-axis?

a)

(3,-5)

b)

(3,0)

c)

(0,3)

d)

(3,3)

6.

In which quadrant both X and Y coordinates are positive?

a)

I

b)

II

c)

III

d)

IV

7.

What are the coordinates of Point A on the coordinate plane?

a)

(7,4)

b)

(1,3)

c)

(9,3)

d)

(4,7)

8.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

9.

What's the distance between (-3,4) and (-3, -10)?

a)

14

b)

-14

c)

6

d)

-6

10.

The distance between A(3,1) and B(-2,-1) is written correctly as:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

11.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

12.

Find the gradient of the straight line joining (6,4) and (-3, -5)

a)

1/3

b)

1

c)

-1

d)

-3

13.

Find the length of the line joining (11,19) and (3,4).

a)

17

b)

8

c)

15

d)

19

14.

What are the coordinates of point Z?

a)

(3,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

15.

Find the gradient of the line perperndicular to AB, where A(4, 3) and B(0, 6).

a)

3/4

b)

4/3

c)

-4/3

d)

-3/4

16.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

17.

Find the gradient of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

18.

The gradient of the x - axis is

a)

Not defined

b)

Zero

c)

Negative

d)

$-1$

19.

Gradients of parallel lines are:

a)

half of each other

b)

equal to each other

c)

equal to Zero

d)

equal to "-1" when multiplied

20.

How to identify if two lines are perpendicular?

a)

The gradients are equal

b)

The gradients are negative reciprocals

c)

The y-intercept are opposite

d)

The distance are equal

21.

What is the distance of the point (-3, -4) from x axis?

a)

3

b)

4

c)

7

d)

12

22.

What is the formula for midpoint?

a)

b)

c)

d)

a²+b²=c²

23.

A line with a gradient that is undefined is ...

a)

Horizontal

b)

Vertical

c)

Very steep

d)

Not very steep

24.

Which of the straight lines has a positive gradient?

a)

b)

c)

d)

25.

Which of the following is the gradient formula?

a)

$\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$a^2+b^2=c^2$

d)

$\frac{y_2-y_1}{x_2-x_1}$

Basic Coordinate Geometry

Total questions: 25

Worksheet time: 24mins

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