i have to show that if the midpoints of consecutive sides of any quadrilateral are connected the result is a parallelogram.
i know the answer but do not know how to get it, help with explaining the process would be appreciated.
I think the midpoints are right but i am not sure, i got them myself.
Midpoint of line A:
Midpoint of line B:
Midpoint of line C:
Midpoint of line D:
Here is where i get stuck, i do not know how to prove that the slopes of opposite sides are equal.
recall that the equation of a line is of the form:
where is the slope and is the y-intercept.
forget making lines though, just find the slopes of lines connecting the midpoints.
Remember, if two points on a line are and , then:
show that the 's for opposite sides are equal
You should be familiar with the Slope Formula by now.
. . But you can also use the Distance Formula . . .
Show that if the midpoints of consecutive sides of any quadrilateral
are connected, the result is a parallelogram.
I think the midpoints are right. . . . . they are!
Theorem .If opposite sides of a quadrilateral are equal,
. . . . . . . . the quadrilateral is a parallelogram.
You can use the Distance Formula to show that: . .and .
Is it that true?
Wow... I didn't think that writin' all closer was botherin' you
I'm not agree with you anyway, 'cause MathType generates the codes quickly (the handicap it's that you can't align of give more presentation in your post), as this one makes lots of spaces, then reduces the capacity (which supports 400 characters), therefore, it is useless on this forum.
Nevertheless, there're people which writes all closer, so, it depends of them.