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Q: What shapes has only 1 pair of congruent sides?

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a trapeziod

Yes, an isosceles trapezoid has one pair of congruent opposite sides and congruent base angles

The only real characteristic of a trapezoid is that one pair of opposite sides is parallel. For an isosceles trapezoid, in addition to one pair of opposite sides being parallel; the legs are congruent; each pair of base angles is congruent; and the diagonals are congruent.

A trapezoid with two congruent, opposite sides is an isosceles trapezoid.

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

Related questions

a trapeziod

all sides being equal

By definition, a trapezoid only must have exactly one pair of parallel sides. An isosceles trapezoid does have one pair of congruent sides, but not all trapezoids will have exactly one pair of congruent sides.

No, a parallellogram is a quadrilateral with two pair of congruent sides and a trapezoid is a quadrilateral with only one pair of congruent sides.

An isosceles trapezoid must have a pair of parallel sides and a pair of congruent sides

No. Most trapezoids don't even have one pair of congruent sides. Only isosceles trapeoids have one pair; none have more than one pair.

Yes, all trapezoids must have one pair of congruent sides.

trapezoids

An isosceles trapezoid has a pair of parallel bases and a pair of congruent sides

not possible, they only have 3 sides so they have to be congruent by ASA or AAS

Yes, an isosceles trapezoid has one pair of congruent opposite sides and congruent base angles

The only real characteristic of a trapezoid is that one pair of opposite sides is parallel. For an isosceles trapezoid, in addition to one pair of opposite sides being parallel; the legs are congruent; each pair of base angles is congruent; and the diagonals are congruent.

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