Quiz – Distance between Two Points in \(1D\)

In this quiz, we test our understanding of how to find the distance between two points in one dimension.

Try to answer the questions before checking the answers at the bottom of the page.

Instructions

Use the formula:

$$d=|P_2-P_1|$$

Remember:

  • Distance is never negative.
  • The order of the two points does not change the distance.
  • In \(1D\), each point is located using one coordinate value.

Question 1

Which formula gives the distance between two points in \(1D\)?

A) \(d=P_2+P_1\)
B) \(d=|P_2-P_1|\)
C) \(d=P_2\times P_1\)

Question 2

Find the distance between:

$$P_1=2,\qquad P_2=8$$

A) \(4\)
B) \(6\)
C) \(10\)

Question 3

Find the distance between:

$$P_1=-1,\qquad P_2=4$$

A) \(3\)
B) \(4\)
C) \(5\)

Question 4

Find the distance between:

$$P_1=-7,\qquad P_2=-3$$

A) \(4\)
B) \(10\)
C) \(-4\)

Question 5

Find the distance between:

$$P_1=\frac{1}{2},\qquad P_2=3$$

A) \(2\)
B) \(2.5\)
C) \(3.5\)

Question 6

Find the distance between:

$$P_1=5,\qquad P_2=5$$

A) \(0\)
B) \(5\)
C) \(10\)

Question 7

Why do we use absolute value in the distance formula?

A) To make the coordinates larger
B) To make sure the distance is not negative
C) To change a \(1D\) problem into a \(2D\) problem

Question 8

What happens if we reverse the order of the two points in the distance formula?

A) The distance stays the same
B) The distance becomes negative
C) The distance doubles

Question 9

Which statement about a \(1D\) number line is correct?

A) It must always be horizontal
B) It must always be vertical
C) It can be horizontal, vertical, or diagonal

Question 10

How many coordinate values are needed to locate a point in \(1D\)?

A) One
B) Two
C) Three

Answers

  1. B) \(d=|P_2-P_1|\)
  2. B) \(6\)
  3. C) \(5\)
  4. A) \(4\)
  5. B) \(2.5\)
  6. A) \(0\)
  7. B) To make sure the distance is not negative
  8. A) The distance stays the same
  9. C) It can be horizontal, vertical, or diagonal
  10. A) One

Practice

Continue Learning

  1. Plotting Points on a Number Line (\(1D\))
  2. Distance Formula in \(1D\)
  3. Distance between Two Points in \(1D\)

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