3 Ch5 Lesson4 DistanceinCoordPlane.notebook November 12, 2018

Chapter 5 Lesson 4Distance in the

Coordiante PlaneWarm­Up:Determine if the given measurements are measurements of a right triangle.

16, 12, 24

7.) From her house, Maddie walks 300 yards north and then walks 500 yards west to get to the grocery store. How many yards shorter would the trip have been if she would have walked straight northwest to the store from her house?

8.) A rope is connected from the top of a 5 ft sign to a stake that is in the ground 13 feet from the base of the sign. How long is the rope? (Draw a picture)

Let's revisit applications (in your notes):

10.) Bases are 90 ft. apart on a baseball field. If a catcher throws a ball directly from home plate to second base, how far will the ball travel?

9.) Miles has an 18 foot ladder that he is using for yard work. He needs the ladder to reach 12 ft high against a house so he can clean the gutters. How far away from the base of the house can Miles place the ladder so that he can reach the gutters?

3 Ch5 Lesson4 DistanceinCoordPlane.notebook November 12, 2018

Example:

1.) Graph the ordered pairs (3, 0) and (7, ­5). Then find the distance between the two points. Round to the nearest tenth.

2.) Find the distance between the following: a = (2, 5) b = (8, 0)

On your own...

3.) (3, ­5) and (­4, 4)

4.) (­5, 0) (­5, 8)

Applications:

5.) A segment has endpoints at (2, 14) and (12, ­3) What is the length of the segment to the nearest whole unit?

6.) Point R is at (1, 4), point S is at (4, 5) and T is at (1, ­2). Sketch the triangle and find the perimeter.

3 Ch5 Lesson4 DistanceinCoordPlane.notebook November 12, 2018

7.) A school is located at (3 ,1). Mitchell lives at (9, 2), Carly lives at (­1, ­3) and Pedro lives at (8, 4).Who lives closest to the school? Plot the points on the graph below.

8.) A triangle has vertices at (­5, 4), (2, 1), and (4, 10).

What is the perimeter of the triangle? Round to the nearest tenth.