10-8 Distance B/W Points

​10-8 Distance of a Line

​Objectives / Essential Question

Students will apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane.

Review Questions

Open Ended

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is the distance? Round your answer to the nearest whole number.

Open Ended

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

The figure gives a right triangle with legs of 8 miles and 15 miles. Find the total distance around the triangle.

Open Ended

The Mighty Motorcycle Club president designs a bike jump. The jump forms a triangle with dimensions of 15 feet, 20 feet, and 25 feet. Is the triangle formed by the bike jump a right triangle?

​Finding a distance between two points

If you can graph the points.

• Graph the two points.

• Create a right triangle and label it a, b, and c. C will be the diagonal distance.

• Count the distance between x and y values.

• ​Use Pythagorean Theorem to solve.

Math Response

Find the distance between the two points.

Round to the nearest tenth.

Type answer here

Correct Answer: 6.4

Deg^°

Rad

Math Response

Find the distance between the two points.

Round to the nearest tenth.

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

Find the distance between the two points.

Round to the nearest tenth.

Type answer here

Correct Answer: 8.6

Deg^°

Rad

Draw

How many miles longer is trail A than trail B?

Each unit on the map is 0.5 miles.

Round your answer to the nearest tenth of a mile.

Draw

How many miles longer is trail B than trail A?

Each unit on the map is 0.5 miles.

Round your answer to the nearest tenth of a mile.

Math Response

What is the distance between the two points?

Round to the nearest tenth.

Type answer here

Correct Answer: 6.3

Deg^°

Rad

Math Response

Find the distance between J and K.

Round to the nearest tenth.

Type answer here

Correct Answer: 8.2

Deg^°

Rad

Math Response

 Find the distance between (2, 3) & (4, 1).

Round to the nearest tenth.

Type answer here

Correct Answer: 2.8

Deg^°

Rad

Math Response

Use the graph to answer the following question.

What is the distance between Shannon Ranch and Starbucks?

Type answer here

Correct Answer: 9

Deg^°

Rad

Math Response

What is the distance from Point B to Point D?

Round to the nearest whole unit, if necessary.

Type answer here

Correct Answer: 16

Deg^°

Rad

Math Response

What is the distance from Point B to Point C?

Round to the nearest tenth, if necessary.

Type answer here

Correct Answer: 10.8

Deg^°

Rad

Open Ended

If you are at the water slide, how far would you have to walk in a straight line to get to the Ferris wheel?

Round to the nearest tenth, if necessary.

Open Ended

Find the direct distance between the court house and the town hall.

Round to the nearest tenth.

Find the distance between the points (-3-2) and (3,-6).

Math Response

Find the distance between ( 1, 3) and (5, 6) 

Type answer here

Correct Answer: 5

Deg^°

Rad

Open Ended

Matt through a frisbee to Sam along the path shown. If each unit on the graph represents 15 feet, how many feet did the frisbee travel?

Round to the nearest whole number.

Hint: First, find the distance between the points (-8, 7) and (3, -5).

Open Ended

Find the distance between (3,2) and (9,7).

Round to the nearest tenth.

Multiple Choice

What is the length of the missing side?

• x = 4

• x = 8

• x = 10

• x = 16