the coordinate plane section 1.6. goal - after today, you will be able to: find the distance...
TRANSCRIPT
![Page 1: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/1.jpg)
The Coordinate PlaneSection 1.6
![Page 2: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/2.jpg)
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.
![Page 3: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/3.jpg)
The Coordinate PlaneThe Cartesian Plane
The X-Y Plane
The Coordinate PlaneThe Cartesian Plane
The X-Y Plane
![Page 4: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/4.jpg)
Logan Square (Circle) Franklin Square
Rittenhouse Square Washington Square
![Page 5: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/5.jpg)
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.
![Page 6: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/6.jpg)
The Distance FormulaThe Distance Formula
The main thing to watch out for isCorrectly labeling the points. Then you
Just “plug and chug”
A( 2,1)
B(5,2)
![Page 7: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/7.jpg)
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)
![Page 8: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/8.jpg)
![Page 9: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/9.jpg)
Find:DE =
FG =
RS =
(0 4)2 ( 2 0)2 16 4
20 2 5 4.47
(4 2)2 ( 1 3)2 4 16
20 2 5 4.47
(2 3)2 ( 2 4)2 25 4
29 5.38
![Page 10: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/10.jpg)
The Midpoint FormulaThe Midpoint Formula
Remember, You are finding A POINT!So, your answer Needs to have BOTH coordinates
Label points just as we did for distanceFormula, and plug ‘em in!
![Page 11: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/11.jpg)
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)
midpt is x1 x2
2,y1 y2
2
![Page 12: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/12.jpg)
B(0,4)
C(5,4)
D(-1,-2)
E(-4,0)
F(1,-2)
A(-3,2)
G(3,0)
![Page 13: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/13.jpg)
Section 1.7 - Review ofPerimeter, Circumference, & Area
For Rectangles, Triangles, and Circles
![Page 14: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/14.jpg)
Perimeter - “Sum of Side Lengths”
Area of Rectangle - “Base times Height”
Area of Triangle - “1/2 Base times Height”
![Page 15: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/15.jpg)
Find the Area and Perimeter.
![Page 16: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/16.jpg)
Find the Area and Perimeter.
![Page 17: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/17.jpg)
Circle Circumference and AreaFor Circles with Radius r
Circumference =
Area =
r2
2r
Before we work with circles, we have to answerA few questions.1. What is radius vs diameter2. What is π3. What is the difference between A & C
![Page 18: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/18.jpg)
Radius v. Diameter Area v. Circumference
The London Eye
![Page 20: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/20.jpg)
![Page 21: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/21.jpg)
Finding Area and Circumference of Circles.
What does it mean to “leave your answer in terms of π”
r = A =
C =
r = A =
C =
![Page 22: 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](https://reader035.vdocument.in/reader035/viewer/2022070410/56649f0d5503460f94c210c5/html5/thumbnails/22.jpg)
Classwork / HomeworkPage 46 - 3, 6, 13, 20, 24*, 28*,31, 42
53-56 on graph paper
Page 55 - 1, 3, 6, 7, 9, 16, 20 28, 37, 38, 50, 65
Chapter 1 reviewPage 61-64 – Whichever problems you choose to do…