Question

which of the following describes what all rhombi and squares have in common? select all that apply.
a quadrilateral that contains exactly one pair of parallel sides.
a quadrilateral that contains two pairs of parallel sides.
a quadrilateral that contains four right angles and four equal-length sides.
a quadrilateral that contains exactly one pair of congruent sides.
a quadrilateral that contains four equal-length sides.
a quadrilateral that contains exactly two pairs of adjacent congruent sides.

Explanation:

1. Option 1: Rhombi and squares are parallelograms, which have two pairs of parallel sides, not exactly one. This is incorrect.
2. Option 2: Both rhombi and squares are types of parallelograms, which by definition have two pairs of parallel sides. This is correct.
3. Option 3: Only squares have four right angles; rhombi do not need to have right angles. This is incorrect.
4. Option 4: Both rhombi and squares have four congruent sides, not exactly one pair. This is incorrect.
5. Option 5: A defining feature of a rhombus is four equal-length sides, and squares are a special case of rhombi, so they also have four equal-length sides. This is correct.
6. Option 6: Rhombi and squares have four congruent sides, meaning all adjacent pairs are congruent (four pairs total), not exactly two. This is incorrect.

Answer:

A quadrilateral that contains two pairs of parallel sides.
A quadrilateral that contains four equal-length sides.