Free Printable Graphing Coordinates, Distance, and Midpoint

1.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

2.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

3.

What is the letter of ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

4.

Name the quadrant where POINT B is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

What letter is point (-5,-1).

a)

B

b)

W

c)

I

d)

Y

6.

If you were to plot the point (-2, -6) what would be the correct method?

a)

Down 2 , Left 6

b)

Left 6, Down 2

c)

Left 2, Down 6

d)

Left 2, Up 6

7.

What letter is at (7, -6)?

a)

D

b)

L

c)

X

d)

There is no letter at those coordinates.

8.

In the ordered pair, (7, -7), first I would move ____ then ____.

a)

Left, Down

b)

Left, Up

c)

Right , Up

d)

Right , Down

9.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

10.

What is the ordered pair for Point A?

a)

(7, -6)

b)

(-6, 7)

c)

(0, 7)

d)

(-5, 7)

11.

Graph the following points

(2, 4 )

12.

Graph the following points

(-6, -5)

13.

Graph the following points

(0, 8)

14.

Graph the following points

(0, -10)

15.

Graph the following points

(4, 0)

16.

Graph the following points

(0, 0)

17.

Graph the following points

(5, -7)

18.

What are the coordinates for "A" on this graph? Enter your answer in this format (X, Y). For example (7, 5)

(a)

19.

What are the coordinates for "B" on this graph? Enter your answer in this format (X, Y). For example (7, 5)

(a)

20.

What are the coordinates for "D" on this graph? Enter your answer in this format (X, Y). For example (7, 5)

(a)

21.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

22.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

23.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

24.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

25.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

26.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

27.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

28.

Find the distance. Round to the nearest tenth if necessary.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

29.

The distance formula is another way to write which of the following?

a)

quadratic formula

b)

slope formula

c)

Pythagorean theorem

d)

none of these answers

30.

Find the distance between J and K. Round to the nearest tenth if necessary.

a)

8.2

b)

7.7

c)

9

d)

10.2

31.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

32.

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?

(3, 4) , (7, 1)

a)

$d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$

b)

$d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$

c)

$d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$

d)

$d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$

e)

$d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$

33.

What is the distance between (-3, 2) and (5, -1)

a)

11

b)

8.5

c)

1.7

d)

7.3

34.

One end of a cable is attached to the top of a flag pole and the other end is attached 6 feet away from the base of the pole. The height of the flagpole is 12 feet. What is length of the cable? Round to the nearest tenth if necessary.

a)

13.4 ft

b)

13.1 ft

c)

6 ft

d)

10.4 ft

35.

Rectangle JKLM is shown. To the nearest tenth, what is the distance from J to M?

a)

5.0 cm

b)

10.2 cm

c)

15.3 cm

d)

21.0 cm

36.

Find the midpoint: (-1,9), (7,-1)

a)

(4,5)

b)

(4,3)

c)

(3,4)

d)

(5,4)

37.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

38.

Find the midpoint: $\left(2,-7\right),\left(10,1\right)$

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

39.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

40.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

41.

What is the center of MN given M(3, -1) and N(7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

42.

Find the midpoint: (-8,6), (5,-7)

a)

$\left(-\frac{\text{3}}{2},-\frac{1}{2}\right)$

b)

$\left(\frac{3}{2},\frac{1}{2}\right)$

c)

$\left(7.5,7.5\right)$

d)

$\left(-2,-1\right)$

43.

Find the midpoint: $(7,-7),(-3,-4)$

a)

$\left(2,-\frac{11}{2}\right)$

b)

$\left(5,-\frac{3}{2}\right)$

c)

$\left(-\frac{11}{2},-2\right)$

d)

$\left(-\frac{3}{2},5\right)$

44.

Find the midpoint: $(9,1),(8,-4)$

a)

$\left(\frac{9}{2},\frac{5}{2}\right)$

b)

$\left(\frac{5}{2},\frac{9}{2}\right)$

c)

$\left(\frac{17}{2},-\frac{3}{2}\right)$

d)

$\left(-\frac{5}{2},\frac{17}{2}\right)$

45.

What is the distance between the two points? Round to the nearest tenth if necessary.

a)

6.3

b)

6.5

c)

6.7

d)

16

46.

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

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

47.

a)

12

b)

9

c)

8

d)

10

48.

Find the value of x.

a)

x=47

b)

x=19

c)

x=33

d)

x= -47

49.

Match the following

a)

$\sqrt[]{81}$

1.

9

b)

$\sqrt[]{16}$

2.

4

c)

$\sqrt[]{9}$

3.

3

d)

$\sqrt[]{144}$

4.

12

e)

$\sqrt[]{49}$

5.

7

50.

simplify $\sqrt[]{96}$

a)

$2\sqrt[]{48}$

b)

$7\sqrt[]{2}$

c)

$16\sqrt[]{6}$

d)

$4\sqrt[]{6}$

e)

$2\sqrt[]{24}$

51.

Simplify $\sqrt[]{20}$

a)

$4\sqrt[]{5}$

b)

$5\sqrt[]{2}$

c)

$2\sqrt[]{5}$

d)

$2\sqrt[]{10}$

e)

Already simplified

52.

Find the distance between the following two points.

a)

$\sqrt[]{14}$

b)

$2\sqrt[]{29}$

c)

$2\sqrt[]{10}$

d)

$2\sqrt[]{8}$

e)

$\sqrt[]{37}$

53.

Find the distance between each pair of points. Give your answer as a simplified radical.

a)

$\sqrt[]{41}$

b)

$\sqrt[]{17}$

c)

$\sqrt[]{15}$

d)

$3$

e)

$2\sqrt[]{3}$

Graphing Coordinates, Distance, and Midpoint

Total questions: 53

Worksheet time: 5hrs 46mins

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