Download presentation

Presentation is loading. Please wait.

Published byChristopher Wilkinson Modified over 2 years ago

1
Lesson 9.5-The Distance Formula HW:9.5/ 1-14

2
Isosceles Right ∆Theorem 45° – 45° – 90° Triangle In a 45° – 45° – 90° triangle the hypotenuse is the square root of two * as long as each leg

3
Theorem 30° – 60° – 90° Triangle In a 30° – 60° – 90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of three times as long as the shorter leg

4
Problem Solving Strategy Know the basic triangle rules Solve for the other sides Set known information equal to the corresponding part of the basic triangle

5
New Material THE DISTANCE FORMULA

6
Coordinate Geometry

7
Coordinate Geometry - Investigation Use the Pythagorean Theorem to find the length of the segment 2 4 c 6 2

8
Coordinate Geometry (AB) 2 = (x 2 - x 1 ) 2 + (y 2 - y 1 ) 2 The Distance Formula is based on the Pythagorean Theorem The distance between points A(x 1,y 1 ) and B(x 2,y 2 ) is given by

9
Coordinate Geometry - Example

10
Exploration Get your supplies - Graph Paper - ruler - pencil Create a large XY coordinate grid

11
Copy and label these points onto your graph paper, include the coordinates of each point Exploration

12
Find the distance between the listed attractions Use the Pythagorean theorem. Draw right triangle if necessary.

13
a.Bumper cars to sledge hammer a.(-4, -3) to (2, -3) x y Distance = 6

14
b. Ferris Wheel and Hall of Mirrors (0, 0) and (3, 1) x y 3 1 Use the Pythagorean Theorem c

15
b. Ferris Wheel and Hall of Mirrors (0, 0) and (3, 1) Using the points and Pythagorean theorem = DISTANCE FORMULA

16
y Use the Pythagorean theorem c. Refreshment Stand to Ball Toss (-5, 2) to (-2, -2) x 3 4 c

17
c. Refreshment Stand to Ball Toss (-5, 2) to (-2, -2) Using the points and Pythagorean theorem = DISTANCE FORMULA

18
y Use the Pythagorean theorem d. Bumper Cars to Mime Tent (-4, -3) to (3, 3) x 7 6 c

19
d. Bumper Cars to Mime Tent e. (-4, -3) to (3, 3)

20
Exploration If your car is parked at the coordinates (17, -9), and each grid unit represents 0.1 mile, how far is from your car to the refreshment stand? ≈2.46 Miles units *0.1 miles Try to complete this without plotting the location of your car. Car to Refreshment stand (17, -9) to (-5, 2)

21
Find the distance between the points at (1, 2) and (–3, 0).

22
Find the distance between the points at (2, 3) and (–4, 6).

23
Find the distance between the points at (5, 4) and (0, –2).

24
Horseshoes Marcy is pitching a horseshoe in her local park. Her first pitch is 9 inches to the left and 3 inches below the pin. What is the distance between the horseshoe and the pin?

25
Homework Lesson 9.5 - Distance Formula 9.5/1-14

Similar presentations

OK

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on aircraft landing gear system information Ppt on animals our friends essay Ppt on any one mathematician blaise Ppt on let us preserve our heritage Ppt on limits and derivatives ppt Ppt on digital media broadcasting system Ppt on phonetic transcription dictionary Ppt on obesity management Ppt on polynomials and coordinate geometry transformations Ppt on standing order activated