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= ?#8 - 10
Geometry – Analytic Geometry
~1~
NJCTL.org
#3 - 5

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

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

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 ´ABinto 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 ´EFinto 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 ´JKinto 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 ´LMinto 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 ´RSinto 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 ´ABinto 2 parts with lengths in a ratio of 1:4.
AB
10