Which characteristics will not prove that quadrilateral pqrs, drawn in a coordinate plane, is a parallelogram?
a. the slopes and lengths of top enclose p q end enclose and top enclose r s end enclose are equal.
b. the slopes of top enclose p q end enclose and top enclose r s end enclose are equal, and the slopes of top enclose q r end enclose and top enclose s p end enclose are equal.
c. the slopes of top enclose p q end enclose and top enclose r s end enclose are equal, and the lengths of top enclose q r end enclose and top enclose s p end enclose are equal.
d. the lengths of top enclose p q end enclose and top enclose r s end enclose are equal, and the lengths of top enclose q r end enclose and top enclose s p end enclose are equal?

Question

24-12-2017
Mathematics

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Which characteristics will not prove that quadrilateral pqrs, drawn in a coordinate plane, is a parallelogram?
a. the slopes and lengths of top enclose p q end enclose and top enclose r s end enclose are equal.
b. the slopes of top enclose p q end enclose and top enclose r s end enclose are equal, and the slopes of top enclose q r end enclose and top enclose s p end enclose are equal.
c. the slopes of top enclose p q end enclose and top enclose r s end enclose are equal, and the lengths of top enclose q r end enclose and top enclose s p end enclose are equal.
d. the lengths of top enclose p q end enclose and top enclose r s end enclose are equal, and the lengths of top enclose q r end enclose and top enclose s p end enclose are equal?

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Kalahira Kalahira · Answer 1 · 2018-01-05T01:52:08+01:00

This question is based on properties of parallelogram this question would be done by process of elimination first option a if two sides are equal and parallel then it is sufficient condition for parallelogram in second option opposite sides opposite are parallel to each other which is also sufficient condition in third option two opposite sides are parallel while other two are equal this is not sufficient condition for parallelogram as it could be a trapezium so the answer to this question is option c c. the slopes of top enclose p q end enclose and top enclose r s end enclose are equal, and the lengths of top enclose q r end enclose and top enclose s p end enclose are equal.