Dividing Line Segments Quiz (5 Questions)

1. Divide the segment connecting (0,0) and (4,8) in ratio 1:1.

2. Divide (2,3) and (6,7) in ratio 3:1.

3. True or False: Dividing segments uses weighted averages of coordinates.

4. Divide (-2,1) and (4,5) in ratio 2:1.

5. Give a real-world example of dividing a line segment.

Answer Key

1. P = ( {0+4}/{2}, {0+8}/{2} ) = (2,4)

2. P = ( {1*2 + 3*6}/{4}, {1*3 + 3*7}/{4} ) = (5,6)

3. True

4. P = ( {1* -2 + 2*4}/{3}, {1*1 + 2*5}/{3} ) = (2, 11/3)

5. Dividing land plots, map coordinates, construction designs, etc.