2. Engage… A team of archaeologists is studying the ruins of Lignite, a small mining town from the 1800's. They plot points on a coordinate plane to show exactly where each artifact is found. They are using this coordinate plane as a map of a section of the town. It shows the location of a medicine bottle M, a doorknob D, and a pottery jug J . How far apart is the doorknob and the medicine bottle? How far apart is the Medicine and the Jug? So approximately far apart is the doorknob and the jug? J D M
3. Explore To find the distance from point A to point B you could use the Pythagorean Theorem a2 + b2 =c2 Point A is (1,6), point C is (1,1) and point B is (7,1) A C B
4. OR you can combine some steps and notice you have derived the distance formula Where point one is denoted (x1,y1) and point two is denoted (x2,y2)
5. Distance Problems… Using the figure, if VZ=4a+3 and VW=15-2a. Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth Example 2 Find Distance on a Coordinate Plane Find the distance between A(4, 2) and B(-6, 4). Use the number line to find QR.
6. Midpoint To find the MIDPOINT BETWEEN POINTS YOU CAN USE THE MIDPOINT FORMULA … MIDPOINT- Is the center point located equidistant from the endpoints!! Think of midpoint as an average between the two points
7. NOW FIND THE MIDPOINTS Using the figure, if VZ=4a+3 and VW=15-2a. Find the coordinates of C if B(2, 4) is the midpoint of and A has coordinates (6, 8) Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth Find Distance on a Coordinate Plane Find the distance between A(4, 2) and B(-6, 4). Use the number line to find QR.
8. EXAMPLES-EVALUATE… TO STUDY ON YOUR OWN FOR TEST… http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-829637-4&title=ct&chapter=1&headerFile=6&state=ut http://www.csupomona.edu/%7Ejmariappan/dolce/midpoint.htm
