Asked by Scott
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.
A(3, − 9), B(10, 1), C(4, 10), D(−9, 3); Distance and Slope Formulas
A(3, − 9), B(10, 1), C(4, 10), D(−9, 3); Distance and Slope Formulas
Answers
Answered by
sadness
so parallelograms must have opposite sides congruent, in this case AB and CD, and BC and AD.
Using the distance formula:
AB=sqrt((10-3)^2+(1-(-9))^2)
sqrt(7^2+10^2)
sqrt(149)
CD=sqrt((-9-4)^2+(3-10)^2)
sqrt(-13^2+-7^2)
sqrt(169+49)
sqrt(218)
Since AB is not equal to CD, this figure cannot be a parallelogram
Using the distance formula:
AB=sqrt((10-3)^2+(1-(-9))^2)
sqrt(7^2+10^2)
sqrt(149)
CD=sqrt((-9-4)^2+(3-10)^2)
sqrt(-13^2+-7^2)
sqrt(169+49)
sqrt(218)
Since AB is not equal to CD, this figure cannot be a parallelogram
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