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Q: What quadrilateral with no right angles and two pairs of congruent and parallel lines?

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I believe that would be a quadrilateral.

It's a square.

Parallel lines cut by a transversal form congruent alternate interior angles.

There are 56 pairs of congruent angles.

If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.

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I believe that would be a quadrilateral.

Iy is either a 'Parallelogram' or a 'Rhombus'.

If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.

It's a square.

Parallel lines cut by a transversal form congruent alternate interior angles.

There are 56 pairs of congruent angles.

If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.

A trapezoid is a quadrilateral with a set of parallel lines. Because it is a quadrilateral, it has four angles.

Corresponding angles.

A quadrilateral that is not a parallelogram (two sets of parallel sides) may be a trapezoid or a trapezium (US terms). To draw a trapezium (irregular quadrilateral), draw two parallel lines and connect them with unequal lines at non-congruent angles. If you make the angles opposite and congruent, you have drawn a trapezoid, which looks like a small stepstool with a top smaller than the base. If you make the connecting lines of equal length, you have drawn a trapezoid or parallelogram.

A trapezoid.

The lines are parallel. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.

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