1 / 17

COORDINATE PLANE

COORDINATE PLANE. Coordinate plane. y-axis. (0,0). We can use pythagorean theorem to find distance in the coordinate plane. Coordinate Geometry Describe a point with an ordered pair (x, y) Finding Distance d is the distance of two points A(x 1 ,y 1 ) and B(x 2 ,y 2 ).

kalit
Download Presentation

COORDINATE PLANE

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. COORDINATE PLANE

  2. Coordinate plane y-axis (0,0)

  3. We can use pythagorean theorem to find distance in the coordinate plane

  4. Coordinate Geometry Describe a point with an ordered pair (x, y) Finding Distance d is the distance of two points A(x1,y1) and B(x2,y2)

  5. Use two points and the distance formula d = (x2 – x1)2 + (y2 – y1)2

  6. Lets see how it works! AB has endpoints A(1,-3) an B(-4,4). Find AB to the nearest tenth. Label your points A( 1, -3 ) B ( -4, 4 ) x1 y1 x2 y2

  7. Putting in calculator Your Screen should look like this: ((-4 – 1 )2 + (4 – ( -3 ))2)

  8. Let’s Try another: The distance between point A (2, -1) and B (2, 5) First label points x1 y1 x2 y2 Second put into distance formula (2 – 2)2 + (5 – (-1))2 Punch into the calculator

  9. Assignment Page 46 Problems 1 – 17

  10. FINDING MIDPOINT OF A SEGMENT

  11. A 7 B 15 11 To find the midpoint of a segment we get the average or mean of the two points Simply we add the two points together and divide by 2 Example 7 + 15 2 22/2 11

  12. When this line is on the coordinate plane we have to take into consideration both the x and the y coordinates E (-2, -3) F (2, 3 ) x1, y1 x2, y2 Formula: x1 + x2 , y1 + y2 2 2 -2 + 2 -3 + 3 2 2 (0, 0) F E

  13. TRY THIS: Find the coordinates of the midpoint of XY with endpoints X(2, -5) and Y ( 6,13) Label points x1, y1 x2, y2 Do we need to see this on a coordinate plane? Use Formula x1 + x2 y1 + y2 2 2

  14. Find the midpoint of AB A = (0, 0) B = (8, 4)

  15. Finding an endpoint The midpoint of XY has coordinates (4, -6), X has the coordinates (2, -3) Find the Y coordinates Let the coordinates of X be x1,y1 Use the midpoint Formula and solve for each coordinate 4 = 2 + x2 2 -6 = -3 + y2 2 endpoint Y (6, -9)

  16. Given the coordinate point A and the midpoint of AB has coordinates (5, -8). Find the coordinates of point B A b

  17. Assignment Page 46 Problems 18 – 40 EVEN 44 & 46

More Related