HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
A. (1,-1)
B. (1,1)
C. (1,0)
D. (0,1)

Respuesta :

Answer:

[tex]C) \:(1,0)[/tex]

Step-by-step explanation:

1) Let's find the Midpoint of IK and the Midpoint of HJ, for if there is a bisection then the midpoint is the first thing to look for.

[tex]M_{IK}=\left ( \frac{4-2}{2},\frac{3-3}{2} \right )=(1,0)\\M_{HJ}=\left ( \frac{-2+4}{2},\frac{2-2}{2} \right )=(1,0)[/tex]

2) Notice that both midpoints share the same value, which means the diagonals cross each other equally in two parts.

3) It is possible to show geometrically,  that this is a parallelogram since both diagonals bisect each other indeed.

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Answer:

C

Step-by-step explanation:

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