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How many pairs of congruent sides are there in a parallelogram?
2 pairs, the sides opposite each other are congruent to each other
What shape has 2 pairs of congruent sides with those sides being non-adjacent and the angles are not all congruent?
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).
Has 4 congruent sides and 2 pairs of congruent sides?
This shape would be a square.
What is necessary when proving that the opposite sides of a parallelogram are congruent?
1. Opposite sides are parallel 2. Corresponding parts of congruent triangles are congruent
How many congruent sides does a trapezoid have?
2 pairs
