Welcome Back! April 13 th, 2015. Review Pythagorean Theorem.

Slides:

Advertisements

Similar presentations

Objective Apply the formula for midpoint.

Advertisements

Amy Hatfield Central High School

Proving the Distance Formula

Introduction Finding the distance between two points on a coordinate system is similar to finding the distance between two points on a number line. It.

Lesson 9.5-The Distance Formula HW:9.5/ Isosceles Right ∆Theorem 45° – 45° – 90° Triangle In a 45° – 45° – 90° triangle the hypotenuse is the square.

Jeopardy Solving Equations Simplifying Radicals

The Distance Formula Lesson 9.5.

Finding Distance by using the Pythagorean Theorem

Distance formula.

The Distance Formula Finding The Distance Between Points On maps and other grids, you often need to find the distance between two points not on the same.

Applying the Pythagorean Theorem Adapted from Walch Education.

Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint.

10.7 Write and Graph Equations of Circles Hubarth Geometry.

Introduction Finding the distance between two points on a coordinate system is similar to finding the distance between two points on a number line. It.

1-7: Midpoint and Distance in the Coordinate Plane

Click to Begin Click to Begin. Pythagorean Theorem Similar Triangles Triangles Real Number Real Number System Angles & Triangles $100 $200 $300 $400 $500.

Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis).

Amusement Parks. A ticket is a small piece of paper that shows that you have paid to get in to the amusement park.

8-1, 1-8 Pythagorean Theorem, Distance Formula, Midpoint Formula

The Distance and Midpoint Formulas

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.

The Distance Formula with Ed and Leslie. Pythagorean Theorem Review Pythagorean Theorem: –Right Triangles: a 2 + b 2 = c 2 Pythagoras – 569 BC – 475 BC.

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

The Distance Formula Produced by Kevin Horace Mann Middle School Ms. Wiltshire’s Class.

Warm-up Write the following formulas 1.Distance 2.Midpoint What is the Pythagorean Theorem?

Students will be able to: calculate the distance between two points on a line.

Let's find the distance between two points. So the distance from (-6,4) to (1,4) is 7. If the.

Finding the distance between two points. (-4,4) (4,-6)

Topic 5-1 Midpoint and Distance in the Coordinate plan.

Distance Formula Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra.

Holt Geometry 1-6 Midpoint and Distance in the Coordinate Plane Happy Monday!!! Please take out your assignment from Friday and be ready to turn it in.

April 17, 2012 Midpoint and Distance Formulas

Pythagorean Theorem & Distance Formula Anatomy of a right triangle The hypotenuse of a right triangle is the longest side. It is opposite the right angle.

Using the Distance Formula in Coordinate Geometry Proofs.

1 Then the lengths of the legs of ABC are: AC = |4 – (–3)| = |7| = 7 BC = |6 – 2| = |4| = 4 To find the distance between points A and B, draw a right triangle.

Objective Apply the formula for midpoint.

Midpoint and distance formulas

Beat the Computer Drill Equation of Circle

1-7: Midpoint and Distance in the Coordinate Plane

Distance between 2 points Mid-point of 2 points

Midpoint and Distance in the Coordinate Plane

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

Midpoint And Distance in the Coordinate Plane

Lesson 2.7 Core Focus on Geometry The Distance Formula.

Lesson 5.3 Lesson 5.3 Midsegment Theorem

1. Find the distance between HINT FOR MULTIPLE CHOICE!

Distance on the Coordinate Plane

Pythagorean Theorem and Distance

1-6 Midpoint & Distance in the Coordinate Plane

Notes Over Pythagorean Theorem

Algebra 1 – The Distance Formula

Objectives Develop and apply the formula for midpoint.

P.5 The Cartesian Plane Our goals are to learn

6-3 The Pythagorean Theorem Pythagorean Theorem.

Chapter 1: Lesson 1.1 Rectangular Coordinates

Finding the Distance Between Two Points.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

In the diagram at the left, AB is a horizontal line segment.

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

The Pythagorean Theorem

Unit 5: Geometric and Algebraic Connections

Finding Distance by using the Pythagorean Theorem

In the diagram at the left, AB is a horizontal line segment.

Unit 3: Coordinate Geometry

1. Find the distance between HINT FOR MULTIPLE CHOICE!

Midpoints and Distance

1. Find the distance between HINT FOR MULTIPLE CHOICE!

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

Triangle Relationships

Presentation transcript:

Welcome Back! April 13 th, 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 CarsSledge Hammer N E S W

Amusement Park Task 1. 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 Hammerb. Ferris Wheel and Hall of Mirrors c. Mime Tent and Hall of Mirrorsd. 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 P 1, will be located at the coordinates (x 1, y 1 ) and the second building, designated P 2, will be located at the coordinates (x 2, y 2 ). a. Write an expression for the horizontal distance between P 1 and P 2 b. Write an expression for the vertical distance between P 1 and P 2 c. Write an expression using Pythagorean Theorem for the distance between P 1 and P 2.

Distance Formula =