Honors Geometry

Honors Geometry

Target: I can calculate the point on a directed line segment between two given points that partitions the segment in a given ratio.

Plot the coordinates on the number line provided and then find the coordinate of the indicated point on a number line that partitions the segment into the given ratio.

1)  A is at 1, and B is at 10. Find the point, T, so that T is two-thirds of the distance from A to B.

2)  A is at -2 and B is at 14. Find the point, T, so that T is three-fourths of the distance from A to B.

3)  A is at -2 and B is at 7. Find the point, T, so that T is one-third of the distance from A to B.

4)  A is at -5 and B is at 5. Find the point, T, so that T is two-fifths of the distance from A to B.

5)  A is at -6 and B is at 9. Find the point, T, so that T is three-fifths of the distance from A to B.

6)  A is at 5 and B is at -7. Find the point, T, so that T is five-sixths of the distance from A to B.

7)  A is at 2 and B is at 7. Find the point, T, so that T partitions the segment into a 2:3 ratio.

8)  A is at -4 and B is at 10. Find the point, T, so that T partitions the segment into a 3:4 ratio.

Plot the points, then find the coordinate of the indicated point on the coordinate plane.

9)  Find the coordinate, T, that is one-third of the distance from A(2, 3) to B(5, 9).

10)  Find the coordinate, T, that is two-thirds of the distance from A(1, 4) to B(7, 13).

11)  Find the coordinate, T, that is two-fifths of the distance from A(-2, 1) to B(8, 11).

12)  Find the coordinate, T, that is three-fifths of the distance from A(2, -2) to B(-3, 8).

13)  Find the coordinate, T, that divides AB into a ratio of 5:3 if A is at (-4, -2) and B is at (4, -10).

14)  Find the coordinate, T, that is seven-eighths of the distance from A(-9, -1) to B(-1, -9).

15)  Find the coordinate, T, that is five-sixths of the distance from A(-7, 2) to B(-1, -4).

16)  Find the coordinate, T, that divides AB into a ratio of 3:1 if A is at (-1, -6) and B is at (-5, 2).

17)  Find the coordinate, T, that is three-eighths of the distance from A(6, 8) to B(-2, 0).

18)  Find the coordinate, T, that is one-third of the distance from A(6, 1) to B(-3, -5).

19)  Find the coordinate, T, that divides AB into a ratio of 2:1 if A is at (-1, 2) and B is at (5, 12).