COORDINATE PLANE Coordinate plane yaxis 0 0 We
- Slides: 17
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)
Use two points and the distance formula d= (x 2 – x 1)2 + (y 2 – y 1)2
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 ) x 1 y 1 B ( -4, 4 ) x 2 y 2
Putting in calculator Your Screen should look like this: ((-4 – 1 )2 + (4 – ( -3 ))2)
Let’s Try another: The distance between point A (2, -1) and B (2, 5) First label points x 1 y 1 Second put into distance formula (2 – 2)2 + (5 – (-1))2 Punch into the calculator x 2 y 2
Assignment Page 46 Problems 1 – 17
FINDING MIDPOINT OF A SEGMENT
A 7 11 B 15 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
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 ) x 1, y 1 x 2, y 2 F Formula: x 1 + x 2 , 2 E y 1 + y 2 2 -2 + 2 -3 + 3 2 2 (0, 0)
TRY THIS: Find the coordinates of the midpoint of XY with endpoints X(2, -5) and Y ( 6, 13) Label points x 1, y 1 x 2, y 2 Do we need to see this on a coordinate plane? Use Formula x 1 + x 2 2 y 1 + y 2 2
Find the midpoint of AB A = (0, 0) B = (8, 4)
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 x 1, y 1 Use the midpoint Formula and solve for each coordinate 4 = 2 + x 2 2 -6 = -3 + y 2 2 endpoint Y (6, -9)
Given the coordinate point A and the midpoint of AB has coordinates (5, -8). Find the coordinates of point B A b
Assignment Page 46 Problems 18 – 40 EVEN 44 & 46
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