Distance and Midpoints<br />
Engage…<br />A team of archaeologists is studying the ruins of Lignite, a small mining town from the 1800's. They plot poi...
Explore<br />To find the distance from point A to point B you could use the Pythagorean Theorem a2 + b2 =c2<br /> Point A ...
OR you can combine some steps and notice you have derived the distance formula<br />Where point one is denoted (x1,y1) and...
Distance Problems…<br />Using the figure, if VZ=4a+3 and VW=15-2a.  <br />Find RT for R(-2, 5) and T(-3, -6). Round to the...
Midpoint<br />To find the MIDPOINT BETWEEN POINTS YOU CAN USE THE MIDPOINT FORMULA …<br />MIDPOINT- Is the center point lo...
NOW FIND THE MIDPOINTS<br />Using the figure, if VZ=4a+3 and VW=15-2a.  <br />Find the coordinates of C if B(2, 4) is the ...
EXAMPLES-EVALUATE…<br />TO STUDY ON YOUR OWN FOR TEST…<br />http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php...
Upcoming SlideShare
Loading in …5
×

G.1 Distance and Midpoint

726 views

Published on

Published in: Education, Sports
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
726
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
Downloads
14
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

G.1 Distance and Midpoint

  1. 1. Distance and Midpoints<br />
  2. 2. Engage…<br />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 . <br /> 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? <br />J<br />D<br />M<br />
  3. 3. Explore<br />To find the distance from point A to point B you could use the Pythagorean Theorem a2 + b2 =c2<br /> Point A is (1,6), point C is (1,1) and point B is (7,1)<br />A<br />C<br />B<br />
  4. 4. OR you can combine some steps and notice you have derived the distance formula<br />Where point one is denoted (x1,y1) and point two is denoted (x2,y2) <br />
  5. 5. Distance Problems…<br />Using the figure, if VZ=4a+3 and VW=15-2a.  <br />Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth <br />Example 2 Find Distance on a Coordinate Plane<br />Find the distance between A(4, 2) and B(-6, 4). <br />Use the number line to find QR.<br />
  6. 6. Midpoint<br />To find the MIDPOINT BETWEEN POINTS YOU CAN USE THE MIDPOINT FORMULA …<br />MIDPOINT- Is the center point located equidistant from the endpoints!!<br />Think of midpoint as an average between the two points<br />
  7. 7. NOW FIND THE MIDPOINTS<br />Using the figure, if VZ=4a+3 and VW=15-2a.  <br />Find the coordinates of C if B(2, 4) is the midpoint of and A has coordinates (6, 8)<br />Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth <br />Find Distance on a Coordinate Plane<br />Find the distance between A(4, 2) and B(-6, 4). <br />Use the number line to find QR.<br />
  8. 8. EXAMPLES-EVALUATE…<br />TO STUDY ON YOUR OWN FOR TEST…<br />http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-829637-4&title=ct&chapter=1&headerFile=6&state=ut<br />http://www.csupomona.edu/%7Ejmariappan/dolce/midpoint.htm<br />

×