Free Printable coordinate geometry

1.

Show that the line 4y = 5x-10 is perpendicular to the line 5y+4x = 35.

a)

$-\frac{4}{5}\times\frac{5}{4}=-1$

b)

$\frac{4}{5}\times\frac{5}{4}=1$

2.

Find the gradient of the line that is perpendicular to the line 2y = 3+5x.

a)

0.4

b)

-0.4

c)

$\frac{2}{5}$

3.

Find the gradient of the line L.

a)

1.45

b)

1.5

c)

1

4.

Find the equation of the line L in the form y = mx+c.

a)

$y=1.5x+1$

b)

$y=-1.5x-1$

c)

$y=1$

5.

Line L passes through the points

(0, -3) and(6, 9).

(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

a)

\left(a\right)\ y=2x-3

\left(b\right)y=-\frac{1}{2}x+2

b)

$\left(a\right)\ y=2x+3\ \ \ \ \$ $\left(b\right)y=-2x+2$

6.

A is the point (8, 5) and B is the point (- 4, 1).

Calculate the length of AB.

a)

11.56

b)

12.56

c)

12.6

7.

A is the point (8, 5) and B is the point (- 4, 1).

Find the co-ordinates of the midpoint of AB.

a)

(3, 2)

b)

(2, 3)

c)

(-2, -3)

8.

A straight line joins the points A (-2, -3) and C (1, 9).

Find the equation of the line AC in the form y = mx + c.

a)

$y=4x+5$

b)

$y=4x$

c)

$y=4x-5$

9.

A straight line joins the points A (-2, -3) and C (1, 9).

Calculate the length of AC.

a)

12.4

b)

13

c)

14.2

10.

The locus of all the points at a fixed distance from a point A can be shown as a

a)

circumference

b)

circle

c)

square

d)

straight line

11.

Rex is a happy dog which has been tied to a stick in the middle of the park meanwhile his owner goes to the bathroom. Select the option that shows the locus of all the points in which the dog can be. The locus is coloured.

a)

b)

c)

d)

12.

Jean, Carl and Horacio are playing hide and seek. Where should Carl be hidden so neither Horacio nor Jean can't see him?

a)

a

b)

b

c)

c

d)

a and b

e)

b and c

13.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

14.

In the equation (x-4)²+(y-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

15.

Name the circle

a)

A

b)

B

c)

C

d)

D

coordinate geometry

Total questions: 15

Worksheet time: 11mins

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