Asked by jasmine
7. Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.
Answers
Answered by
Reiny
easy,
after making sketch, show that the slopes of opposite sides are equal.
Then draw the diagonals and find their slopes
show that the slope of one diagonal is the opposite reciprocal of the slope of the other.
Be careful in your slope calculations with the subtraction of all those negative numbers
I will do one slope
slope AB = (6-(-1))/(-9 - (-5)) = 7/-4 or -7/4
after making sketch, show that the slopes of opposite sides are equal.
Then draw the diagonals and find their slopes
show that the slope of one diagonal is the opposite reciprocal of the slope of the other.
Be careful in your slope calculations with the subtraction of all those negative numbers
I will do one slope
slope AB = (6-(-1))/(-9 - (-5)) = 7/-4 or -7/4
Answered by
CTree
what she needs is the formula...(that is helping not doing the work)
Answered by
CTree
(y2-y1)/(x2-x1)
that is the formula
that is the formula
Answered by
Student
Thanks CTree for the formula
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