Answer :

SR is parallel to PQ so has the same slope as PQ, which is 2/3
akposevictor

Based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.

Opposite Sides of a Parallelogram

  • The two pairs of sides in a parallelogram are parallel to each other.
  • Parallel lines have the same slope.
  • The slope of the opposite sides of a parallelogram are congruent (equal in measure).

Given:

  • Slope of PQ = 2/3
  • Slope of QR = -1/2

For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.

This implies that: Slope of SR = Slope of PQ = 2/3.

Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.

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