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Calculating Distances From Two Points

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

In a line segment XYZ, if XY = 5 and YZ = 3, what is the length of XZ?

a)

8

b)

4

c)

7

d)

10

2.

In a real-life scenario, how can the addition postulate be applied to measure distances?

a)

By dividing the lengths of different segments

b)

By multiplying the lengths of different segments

c)

By adding the lengths of different segments or distances together.

d)

By subtracting the lengths of different segments

3.

What is the significance of the addition postulate in geometry and real-world applications?

a)

It is used for calculating the area of 3D shapes

b)

It helps in solving algebraic equations

c)

It is only applicable to abstract mathematical concepts

d)

It helps in determining the position of points and distances between them.

4.

Provide an example of a real-life situation where the addition postulate is used to calculate distances or lengths.

a)

Surveying

b)

Farming

c)

Astronomy

d)

Cooking

5.

This grid represents the layout of Valerie's math class. Each unit on the grid represents 1 square foot.

Valerie's desk is located at (-3, -4)

The teacher's desk is located at (5, -4)

The storage closet is located at (-3, -7)

What is the distance, in feet, from Valerie's desk to the storage closet?

6.

Find the distance between the pair of points shown in the diagram. Round your answer to the nearest tenth, if necessary.

(a)  

7.

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

a)

6.3

b)

6.5

c)

6.7

d)

16

8.

Find the distance between each pair of points. (7, -4), (4, 0) Write your answer in reduced radical form, if necessary.

9.

Find the distance between the pair of points shown in the diagram. Round your answer to the nearest tenth, if necessary.

(a)  

10.

The graph shows the locations of an eagle's nest, a tree, and a pond. On the coordinate grid, each unit represents a mile.


What is the distance from the pond to the tree? Round to the nearest tenth of a mile.

11.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

12.

Find the distance between the pair of points shown in the diagram. Round your answer to the nearest tenth, if necessary.

(a)  

13.

The grid represents the layout of a neighborhood. Each unit on the grid represents 1 square mile.

The Post Office is located at (5, 3)

The Bank is located at (5, 1)

The Town Hall is located at (-4, 3)

What is the distance, in miles, from the Post Office to the Town Hall?

14.

What is the distance between (-5, 3) and (4, -5)

a)

Square root of -145

b)

Square root of 145

c)

145

d)

-145

15.

Find the distance between each pair of points. (Round to the tenths if necessary.)

a)

2.2

b)

1.7

c)

4.1

d)

3.6

16.

Find the distance between each pair of points.

(7, -4), (4, 0)

Write your answer in reduced radical form, if necessary.

17.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

18.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

19.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

20.

Find the distance between the pair of points shown in the diagram. Round your answer to the nearest tenth, if necessary.

(a)