8th grade Ch 5 L7

Graph the ordered pairs (1, 5) and (3, 1). Then find the distance between the points. Round to the nearest tenth if necessary.

• The distance between the points (1, 5) and (3, 1) is approximately 4.5 units.

• The distance between the points (1, 5) and (3, 1) is approximately 3.2 units.

• The distance between the points (1, 5) and (3, 1) is approximately 5.7 units.

• The distance between the points (1, 5) and (3, 1) is approximately 2.8 units.

On a park map, the ranger station is located at (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?

• The approximate distance between the ranger station and the nature center is about 1.1 miles.

• The approximate distance between the ranger station and the nature center is about 2.5 miles.

• The approximate distance between the ranger station and the nature center is about 0.5 miles.

• The approximate distance between the ranger station and the nature center is about 3.0 miles.

The Pythagorean Theorem can be used to find the distance between two points on the coordinate plane by:

• Using the differences in x and y coordinates to form a right triangle and applying the theorem to find the hypotenuse.

• Adding the x and y coordinates of both points together.

• Multiplying the x and y coordinates of both points.

• Subtracting the x and y coordinates and dividing by two.

Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary. (Example 1) 1. (4, 5), (2, 2) What is the distance between the points?

• 3.6

• 2.8

• 4.2

• 5.0

Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary. (Example 1) 2. (−3, 4), (1, 3) What is the distance between the points?

• 4.1

• 3.6

• 5.0

• 2.8

Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary. (Example 1) 3. (2.5, −1), (−3.5, −5) What is the distance between the points?

• 7.2

• 5.8

• 8.1

• 6.5

A ferry sets sail from an island located at (4, 12) on a map. Its destination is Ferry Landing B at (6, 2). How far will the ferry travel if each unit on the grid is 0.5 mile?

• 5.4 miles

• 3.2 miles

• 7.1 miles

• 4.8 miles

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary. (Example 3) 5. C(−5, −3), D(−4, −2)

• 1.4

• 2.0

• 0.7

• 3.2

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary. (Example 3) 6. Y(3.5, 1), Z(−4, 2.5)

• 7.7

• 5.2

• 9.1

• 6.4

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary. (Example 3) 7. K(8 1/2, 12), L(−6 3/4, 7 1/2)

• 16.1

• 12.7

• 9.4

• 20.3