QUESTION IMAGE
Question
for each of the following quadrilaterals, select all the properties that must be true.
all sides congruent\tfour right angles\ttwo pairs of parallel sides\tonly one pair of parallel sides
(a) square
(b) parallelogram
(c) rhombus
Brief Explanations
- Square: A square is a special quadrilateral with all sides equal, four 90-degree angles, and two pairs of parallel opposite sides; it never has only one pair of parallel sides.
- Parallelogram: By definition, it has two pairs of parallel opposite sides. It does not require all sides to be congruent nor all angles to be right angles, and it cannot have only one pair of parallel sides.
- Rhombus: A rhombus has all sides congruent and two pairs of parallel opposite sides, but its angles are not necessarily right angles, and it does not have only one pair of parallel sides.
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| All sides congruent | Four right angles | Two pairs of parallel sides | Only one pair of parallel sides | |
|---|---|---|---|---|
| (b) Parallelogram | ❌ | ❌ | ✅ | ❌ |
| (c) Rhombus | ✅ | ❌ | ✅ | ❌ |