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April 13th, 2015

Review Pythagorean Theorem

UNIT 6: CONNECTING ALGEBRA AND GEOMETRY

4/13/15

Roller Coaster

Acrobats

Ferris Wheel

Refreshment Stand

Mime Tent

Hall of Mirrors

Ball Toss

Bumper Cars

Sledge Hammer

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Amusement Park Task1. Using the map of the amusement park, find the distance between each pair of attractions in a-e. (Hint: draw a right triangle)

a. Bumper Cars and Sledge Hammer b. Ferris Wheel and Hall of Mirrors

c. Mime Tent and Hall of Mirrors d. Refreshment Stand and Ball Toss

2. Which pair of attractions is farthest apart?

Chris parked his car at the coordinates (17, -9). He wants to visit the Refreshment Stand first. a. Find the lengths of the legs of the triangle

without counting.

b. How far is he from the Refreshment Stand?

Two new attractions are being considered. The first attraction, designated P1, will be located at the coordinates (x1, y1) and the second building, designated P2, will be located at the coordinates (x2, y2).

a. Write an expression for the horizontal distance between P1 and P2

b. Write an expression for the vertical distance between P1 and P2

c. Write an expression using Pythagorean Theorem for the distance between P1 and P2.

P2

x2, y2( )

P1

x1, y2( )

Distance Formula =