# Lesson Worksheet: Distance on the Coordinate Plane: Horizontal and Vertical Mathematics • 6th Grade

In this worksheet, we will practice finding the horizontal or vertical distance between two points on the coordinate plane.

**Q5: **

If is a square, where , , , and , find the ordered pair that represents and then determine the area of the square considering a unit length .

- A, area
- B, area
- C, area
- D, area

**Q7: **

Given that one length unit equals 1 cm, find the perimeter of , where the coordinates of points , , , and are , , , and , respectively.

**Q8: **

Do the two points and lie on the same side of the line ?

- AYes
- BNo

**Q9: **

What is the distance between the points and ?

**Q10: **

A teacher asked his students to find the distance between the points and . Daniel said that the distance is 4, while David said that the distance is 6. Which of them answered correctly?

- ADaniel
- BDavid

**Q12: **

In a treasure hunt, a sealed envelope was given to each team. The envelope contained map drawn on a coordinate grid and the following information: the campsite is at the origin point, the campfire at , the river at , the tent at , and the big tree at .

What is the distance between the campfire and the big tree?

What is the distance between the tent and the big tree?

What is the distance between the campfire and the river?

**Q13: **

Suppose that in the given figure, and is on the . What is the length of ?

**Q15: **

Anthony graphed the points and . He said that the distance between these points is 4. Do you agree or disagree?

- Adisagree
- Bagree

**Q16: **

Find the distance between point , located at , and point , located at .

**Q17: **

What is the distance between the point and the -axis?

**Q18: **

Given that the coordinates of the points and are and respectively, and one unit length , find the length of .

**Q19: **

Given that the coordinates of and are and , respectively, determine the length of .

- A8 length units
- B3 length units
- C16 length units
- D6 length units

**Q20: **

Point is located at . Which of the following points is 6 units away from point ?

- A
- B
- C
- D
- E

**Q21: **

To go to the park from the mall, a straight path is taken which can be represented on a coordinate grid by the points and .

Select the right grid that can be used to represent that path.

- A
- B
- C
- D
- E

Find the distance between and .

**Q22: **

In a coordinate plane, Davidβs middle school lies at and his elementary school at . Each unit in the plane represents 1 mile in reality. If David can ride his bike at a constant rate of 12 miles per hour, how many minutes does it take him to ride from middle school to elementary school?

**Q23: **

Are the points , , and collinear?

- AYes
- BNo

**Q25: **

A farmer wants to build a metal fence to enclose his livestock. The fenceβs vertices are represented by points , , , , , and . Each unit in the coordinate plane represents 1 meter in reality. Since a gate is to be added between points and , the farmer will not use metal fencing on that side. What is the total number of meters of metal fencing the farmer needs?