A(-2,-1), B(1,0), C(4,3), and D(1,2) are the vertices of ⎕ ABCD then
i) Using the midpoint formula, find the coordinates of midpoint A and C
ii) Using the midpoint formula, find the coordinates of the midpoint of B and D
iii) Using results of (i) and (ii) determine the type of ⎕ ABCD. Give your
reason.
please tell the right one if wrong some is told I will report the person who has told wrong one
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Answered by
0
Answer
⇒Midpoint formula X=(
2
x
1
+x
2
)and Y=(
2
y
1
+y
2
)
Coordinates of M are mid points of AC
∴M=(
2
4−2
,
2
b+1
)
Coordinates of M are mid points of BD
∴M=(
2
a+1
,
2
0+2
)
∴
2
4−2
=
2
a+1
So a=1
2
b+1
=
2
0+2
∴b=1
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Answered by
3
Answer:
(i ) 1,1
(ii) 1,1
(iii) Parallelogram as diagonal bisects each other
Step-by-step explanation:
By mid point formula,
(x, y) = [(X1+X2) /2 , (Y1+Y2)/2]
(i ) coordinates of midpoint A and C
=[( -2+4)/2, (-1+3)/2]
=(2/2,2/2)
=(1,1)
(ii) coordinates of the midpoint of B and D
=[(1+1)/2, (0+2)/2]
=(2/2,2/2)
=(1,1)
(iii)Using results of (i) and (ii) ⎕ ABCD is a parallelogram as diagonal bisects each other.
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