Let’s analyze the given table and solve the properties of each quadrilateral.

(a) Parallelogram

1. Four right angles: No. A parallelogram doesn’t necessarily have right angles unless it is a rectangle or square.
2. Two pairs of parallel sides: Yes. By definition, a parallelogram always has two pairs of parallel sides.
3. Only one pair of parallel sides: No. A parallelogram always has two pairs of parallel sides.
4. All sides congruent: No. A parallelogram doesn’t require all sides to be congruent unless it is a rhombus or square.

Correct options for parallelogram: Two pairs of parallel sides.

(b) Rhombus

1. Four right angles: No. A rhombus does not require right angles unless it is a square.
2. Two pairs of parallel sides: Yes. A rhombus is a type of parallelogram, so it always has two pairs of parallel sides.
3. Only one pair of parallel sides: No. A rhombus has two pairs of parallel sides.
4. All sides congruent: Yes. By definition, all sides of a rhombus are congruent.

Correct options for rhombus: Two pairs of parallel sides, All sides congruent.

(c) Rectangle

1. Four right angles: Yes. By definition, a rectangle always has four right angles.
2. Two pairs of parallel sides: Yes. A rectangle is a type of parallelogram, so it always has two pairs of parallel sides.
3. Only one pair of parallel sides: No. A rectangle has two pairs of parallel sides.
4. All sides congruent: No. A rectangle doesn’t require all sides to be congruent unless it is a square.

Correct options for rectangle: Four right angles, Two pairs of parallel sides.

Final Summary:

Let me know if you would like further clarification or details on quadrilaterals!

Questions to Expand Knowledge:

1. What additional properties define a square compared to a rhombus and a rectangle?
2. Why are parallelograms considered a broader category in quadrilaterals?
3. How can diagonals help in identifying specific quadrilaterals like rhombuses or rectangles?
4. Can a shape be both a rectangle and a rhombus? If so, what is it called?
5. How do trapezoids differ from parallelograms in terms of parallel sides?

Tip:

Always verify the definitions and distinguishing properties of quadrilaterals to ensure proper categorization.