geo_analytic-geometry-classwork-homework_2015-04-08 -...

Analytic Geometry
Distance Formula: CLASSWORK
1. Find the distance between (-9, 1) & (-5, -2)
2. Find the distance between (10, 3) & (1, -3)
3. Length of
´
BD
= ?
4. Length of
´
AD
= ?
5. Length of
´
DC = ?
Distance Formula: HOMEWORK
6. Find the distance between (2, 9) & (-3, 14)
7. Find the distance between (-3, 2) & (9, 7)
8. length of
´
AD
= ?
9. length of
´
BD
= ?
10. length of
´
CD = ?
Geometry – Analytic Geometry ~1~ NJCTL.org
#3 - 5
#8 - 10

Midpoint Formula: CLASSWORK
Calculate the coordinates of the midpoint of the given segments
Geometry – Analytic Geometry ~2~ NJCTL.org

11. (0, 0), (6, 10)
12. (2, 3), (6, 7)
13. (4, -1), (-2, 5)
14. (-3, 8), (13, -6)
15. (-1, -14), (-2, -6)
16. (3, 2), (6, 6)
3

17. (-5, 2), (0, 4)
Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M
4

18. endpoint: (4,6), midpoint:
(7,11)
19. endpoint: (2, 6), midpoint:
(-1, 1)
20. endpoint: (3, -12), midpoint
(2,-1)
5

Midpoint Formula: HOMEWORK
Calculate the coordinates of the midpoint of the given segments
6

21. (0, 0), (8, 4)
22. (-1, 3), (7, -1)
23. (3, 5), (7, -9)
24. (6, 0), (2, 7)
25. (-5, -3), (-3, -5)
26. (13, 8), (-6, -6)
7

27. (-4, -2), (1, 3)
Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M
8

28. endpoint: (-5, 9)
midpoint (-8, -2)
29. endpoint: (6, 7)
midpoint (10, -7) 30. endpoint: (2, 4)
midpoint (-1, 7)
Partitions of a Line Segment: CLASSWORK
PARCC-type Questions:
31. Line segment AB in the coordinate plane has endpoints with coordinates A (3, -10) and B(-6, -1).
a) Graph
´
b) Find 2 possible locations for point C so that C divides
´
AB
into 2 parts with lengths in a ratio of 1:2.
32. Line segment EF in the coordinate plane has endpoints with coordinates E (-10, 11) and F (5, -9).
a) Graph
´
AB
EF
9

b) Find 2 possible locations for point G so that G divides
´
EF
into 2 parts with lengths in a ratio of 2:3.
33. Line segment JK in the coordinate plane has endpoints with coordinates J (11, 11) and K (-10, -10). Find
two possible locations for point P that divides
´
JK into two parts with lengths in a ratio of 3:4.
34. Line segment LM in the coordinate plane has endpoints with coordinates L (-12, 10) and M (6, -8). Find
two possible locations for point P that divides
´
LM into two parts with lengths in a ratio of 2:7.
35. Line segment RS in the coordinate plane has endpoints with coordinates R(7, -11) and S(-9, 13). Find two
possible locations for point P that divides
´
RS
into two parts with lengths in a ratio of 3:5.
Partitions of a Line Segment: HOMEWORK
PARCC-type Questions:
36. Line segment AB in the coordinate plane has endpoints with coordinates A (5, -7) and B(-10, 3).
a) Graph
´
b) Find 2 possible locations for point C so that C divides
´
AB into 2 parts with lengths in a ratio of 1:4.
AB
10