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

Graphing

Graph the equation y = 4x - 3.

Graphing

Graph the line that passes through the points (0, 5) and (-5,-2).

Graphing

Graph through the two points (-3, 4) and (2, 6).

​Steps finding a distance of line.

• 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

Draw

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

Round to the nearest tenth.

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

Draw

What is the distance from Point A to Point B?

Round to the nearest whole unit, if necessary.

Draw

If you are at the water slide, how far would you have to walk to get to the ferris wheel?

Round to the nearest whole unit, if necessary.

Draw

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

Round to the nearest tenth.

Multiple Choice

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

• 3
• 4
• 5
• 6

Draw

How many feet did the frisbee travel?

Round to the nearest whole number.

Draw

Find the distance.

Round to the nearest tenth.

Multiple Choice

What is the length of the missing side?

• x = 4

• x = 8

• x = 10

• x = 16