Midpoint Formula

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 coordinates  of the midpoint of a segment
with the given endpoints:  (-7, 2) (3, 0)
(-4, 2)
(-5, 1)
(5, 1)
(-2, 1)
Ray GO is an angle bisector of ∡EGM, m∡EGM = 86.
Find the measure of ∡EGO.
G
E
M
O
42
86
43
172

Find the coordinates of the midpoint of a segment

with the given endpoints:  (0, 0)  (4, 6)

(6, 4)
(4, 6)
(3, 2)
(2, 3)
Find the coordinates of the other endpoint of the
segment with the given endpoint and midpoint M
                 P (-4, 3)            M (-1,-1)
(2, -5)
(-2.5, 1)
(-7, 7)
(-5, 2)
Ray GO is an angle bisector of ∡EGM.  m∡EGO = 36.
Find the measure of ∡EGM.
G
E
O
M
9
18
36
72
Find the coordinates of the other endpoint of the
segment with the given endpoint and midpoint M
                 P (6, 2)            M (2,4)
(-2, 6)
(10, 0)
(4, 3)
(8, 6)

Find the coordinates of the midpoint of a segment

with the given endpoints:  (8, -4)  (-4, -2)

(4, -6)
(-16, 0)
(20, -6)
(2, -3)
Ray GO is an angle bisector of ∡EGM.
m∡EGO = 4x - 2 and m∡OGM = 7x - 17.  Find the
value of x.
G
E
M
O
5
7
18
36
Find the coordinates of the other endpoint of the
segment with the given endpoint and midpoint M
                 P (6, -4)            M (3,10)
(9, 6)
(4.5, 3)
(9, -18)
(0, 24)
Find the coordinates of the other endpoint of the
segment with the given endpoint and midpoint M
                 P (-1, 5)            M (0,1)
(-0.5, 3)
(1, -3)
(-1, 6)
(-2, 9)
Ray GO is an angle bisector of ∡EGM.
m∡EGO = 5x - 21 and m∡OGM = 3x + 7.
Find m∡OGM.
G
E
M
O
14
28
49
98

Find the coordinates of the midpoint of a segment

with the given endpoints:  (5, -6)  (3, -3)

(8, -9)
(7, -9)
(4, -4.5)
(1, 0)
Ray GO is an angle bisector of ∡EGM.
m∡EGO = x + 28 and m∡OGM = 6x - 7.
Find m∡EGM.
G
E
M
O
7
35
70
105
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