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Geometry Midpoints/Angle Bisector
Contributed by: Walker
(Original author: Plesek)

Find the coordinates of the midpoint of a segment

with the given endpoints:  (-3, 2)  (7, -6)

(4, -4)

(2, -2)

(-10, 8)

(-5, 4)

Find the coordinates of the other endpoint  of the
segment with the given endpoint and midpoint M
                 P (7, 3)            M (2,1)
(2.5, 1)
(4.5, 2)
(-3, -1)
(12, 5)
Find the values of x and y.
88
x
y
x = 88 y = 92
x = 92 y = 88
x = 44 y = 46
x = 46 y = 44
Ray GO is an angle bisector of ∡EGM, m∡EGM = 86.
Find the measure of ∡EGO.
G
E
M
O
42
86
43
172
U
R
Find the value of x.
T
S
1
5/3
9
34
∡SRT = 6x + 2
∡URT = 3x + 7
Find the distance between (3, 0) and (8, 10).
5√5
(5.5, 5)
125
(5, 10)
B
m∡ABC = 70 and m∡ABD = 25.  Find m∡DBC.
A
D

C

25
35

45

55

Ray GO is an angle bisector of ∡EGM.
m∡EGO = 4x - 2 and m∡OGM = 7x - 17. 
 Find the m∡OGM.

G
E
M
O
18
7
5
36
Find the value of x and y.

y

64

x
116

x = 64  y = 10

x = 16  y= 116

x = 64  y = 116

 x = 16  y = 10
Which angle is complementary to ∡ X?
B is the midpoint of AC and AC = 18 in.  Find the value of x and the length of BC.
A
BC = 
x = 
3x
AC = 18
B
C
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