Asked by Mace
Determine the relationship between the diagonals PR and QoS of rhombus PQRS with P(-3,-2),Q(-1,2), R(3,2), s(1,-1)
Answers
Answered by
Reiny
in any rhombus, the diagonals right-bisect each other.
illustration:
midpoint of PR = (0,0)
midpoint of QS = (0,1/2)
oops, something is not right
the figure is not a rhombus, I think S should be (1,-2)
then midpoint of QS is also (0,0) and the two diagonals would bisect each other.
To show that they bisect each other at right angles, find slope of PR and slope of QS and show they are negative reciprocals of each other.
illustration:
midpoint of PR = (0,0)
midpoint of QS = (0,1/2)
oops, something is not right
the figure is not a rhombus, I think S should be (1,-2)
then midpoint of QS is also (0,0) and the two diagonals would bisect each other.
To show that they bisect each other at right angles, find slope of PR and slope of QS and show they are negative reciprocals of each other.
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