The Coordinate Plane Section 1.6. Goal - After today, you will be able to:  Find the distance between any two points in the coordinate plane.  Find.

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Presentation transcript:

The Coordinate Plane Section 1.6

Goal - After today, you will be able to:  Find the distance between any two points in the coordinate plane.  Find the coordinates of the midpoint of a segment in the coordinate plane.

The Coordinate Plane The Cartesian Plane The X-Y Plane

Logan Square (Circle)Franklin Square Rittenhouse SquareWashington Square

Finding Distance  If two points in the coordinate plane lie on a vertical or horizontal line, you can use the Ruler Postulate to find the distance between them.  If two points do NOT lie on a vertical or horizontal line, you need to use the Distance Formula or Pythagoreans Thm.

The Distance Formula The main thing to watch out for is Correctly labeling the points. Then you Just “plug and chug”

Calculate the distance between the two points: A(1,2) B(3,7) C( -2,4) D(3,-6) E(-1,-5) F(-6, -8)

Find: DE = FG = RS =

The Midpoint Formula Remember, You are finding A POINT! So, your answer Needs to have BOTH coordinates Label points just as we did for distance Formula, and plug ‘em in!

Calculate the midpoint between the two points : A(1,2) B(3,7) C( -2,4) D(3,-6) E(-1,-5) F(-6, -8)

B(0,4) C(5,4) D(-1,-2) E(-4,0) F(1,-2) A(-3,2) G(3,0)

Section Review of Perimeter, Circumference, & Area For Rectangles, Triangles, and Circles

Perimeter - “Sum of Side Lengths” Area of Rectangle - “Base times Height” Area of Triangle - “1/2 Base times Height”

Find the Area and Perimeter.

Circle Circumference and Area For Circles with Radius r Circumference = Area = Before we work with circles, we have to answer A few questions. 1.What is radius vs diameter 2.What is π 3.What is the difference between A & C

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Classwork / Homework Page , 6, 13, 20, 24*, 28*,31, on graph paper Page , 3, 6, 7, 9, 16, 20 28, 37, 38, 50, 65 Chapter 1 review Page – Whichever problems you choose to do…