# Lesson Worksheet: The Distance between Two Points Mathematics

In this worksheet, we will practice finding the distance between two points on the coordinate plane using the Pythagorean theorem.

**Q1: **

The distance between and is 5. What are the possible values of ?

- A or
- B or 4
- C or 4
- D or

**Q2: **

Which of the following points is at a distance of from the origin?

- A
- B
- C
- D

**Q3: **

Find the distance between the point and the point of origin.

- A length units
- B length units
- C length units
- D length units

**Q4: **

Find the distance between and , giving your answer in radical form if necessary.

- A15
- B
- C
- D17
- E

**Q5: **

Find the distance between the points and .

- A4 length units
- B16 length units
- C length units
- D length units
- E length units

**Q6: **

Two baseball posts were positioned at and . Find the distance between the posts giving the answer to one decimal place.

**Q7: **

Khalid is making a map of his local area measured in meters. The coffee shop is at and the Italian restaurant is at . Find the distance between the coffee shop and the Italian restaurant giving the answer to one decimal place.

**Q8: **

What is the distance between the point and the origin?

- A length units
- B length units
- C length units
- D length units

**Q9: **

Find the distance between the points and .

- A length units
- B length units
- C13 length units
- D length units
- E3 length units

**Q10: **

Find the distance between the two points in the figure below, giving your answer in radical form if necessary.

- A
- B
- C
- D7
- E