In this quiz, we test our understanding of the distance formula in \(1D\).
Try to answer the questions before checking the answers at the bottom of the page.
Instructions
Use the formula:
\(d = \sqrt{(P_2 − P_1)^2}\)
Remember:
Distance is always positive.
Question 1
What does \(1D\) mean?
A) One-dimensional
B) Two-dimensional
C) Three-dimensional
D) Four-dimensional
Question 2
In \(1D\), points lie on:
A) a plane
B) a straight line
C) a solid object
D) a circle only
Question 3
Which formula gives the distance between two points in \(1D\)?
A) \(d = P_2 + P_1\)
B) \(d = \sqrt{(P_2 − P_1)^2}\)
C) \(d = P_2 \times P_1\)
D) \(d = P_2 \div P_1\)
Question 4
The distance between two points is always:
A) negative
B) zero
C) positive or zero
D) a fraction only
Question 5
Find the distance between:
\(P_1 = 2\) and \(P_2 = 5\)
A) \(2\) units
B) \(3\) units
C) \(5\) units
D) \(7\) units
Question 6
Find the distance between:
\(P_1 = 5\) and \(P_2 = 2\)
A) \(−3\) units
B) \(2\) units
C) \(3\) units
D) \(7\) units
Question 7
Find the distance between:
\(P_1 = −1\) and \(P_2 = −6\)
A) \(4\) units
B) \(5\) units
C) \(6\) units
D) \(7\) units
Question 8
Find the distance between:
\(P_1 = 2\) and \(P_2 = −2\)
A) \(0\) units
B) \(2\) units
C) \(3\) units
D) \(4\) units
Question 9
Which formula gives the same result as \(d = \sqrt{(P_2 − P_1)^2}\)?
A) \(d = \left| P_2 − P_1 \right|\)
B) \(d = P_2 + P_1\)
C) \(d = P_2 − P_1\) only
D) \(d = P_1 \times P_2\)
Question 10
Why do we square and then take the square root?
A) To make the answer negative
B) To make the distance always positive
C) To make the points equal
D) To change \(1D\) into \(2D\)
Answer Key
- A) One-dimensional
- B) a straight line
- B) \(d = \sqrt{(P_2 − P_1)^2}\)
- C) positive or zero
- B) \(3\) units
- C) \(3\) units
- B) \(5\) units
- D) \(4\) units
- A) \(d = \left| P_2 − P_1 \right|\)
- B) To make the distance always positive
Practice
- More Examples
- Take the Quiz (Current page)
Continue Learning
- Plotting Points on a Number Line (\(1D\))
- Distance Formula in \(1D\)
- Distance between Two Points in \(1D\)