For each of the following quadrilaterals, select all the properties that must be true.Four right angles All sides congruent Two pairs of parallel sides Only one pair of parallel sides(a) Parallelogram (b) Trapezoid (c) Rectangle

(a) Parallelogram:

• Four right angles: This is not necessarily true for all parallelograms. Only rectangles (which are a type of parallelogram) have four right angles.
• All sides congruent: This is not necessarily true for all parallelograms. Only rhombuses (which are a type of parallelogram) have all sides congruent.
• Two pairs of parallel sides: This is true. By definition, a parallelogram has two pairs of parallel sides.
• Only one pair of parallel sides: This is not true. As mentioned above, a parallelogram has two pairs of parallel sides.

(b) Trapezoid:

• Four right angles: This is not necessarily true for all trapezoids. Only right trapezoids have two right angles.
• All sides congruent: This is not necessarily true for all trapezoids. Only regular trapezoids (which are very rare) have all sides congruent.
• Two pairs of parallel sides: This is not true. By definition, a trapezoid has only one pair of parallel sides.
• Only one pair of parallel sides: This is true. As mentioned above, a trapezoid has only one pair of parallel sides.

(c) Rectangle:

• Four right angles: This is true. By definition, a rectangle has four right angles.
• All sides congruent: This is not necessarily true for all rectangles. Only squares (which are a type of rectangle) have all sides congruent.
• Two pairs of parallel sides: This is true. By definition, a rectangle (like all parallelograms) has two pairs of parallel sides.
• Only one pair of parallel sides: This is not true. As mentioned above, a rectangle has two pairs of parallel sides.