Question

select the properties of a rectangle
all pairs of consecutive angles are supplementary
both pairs of opposite sides are congruent
exactly one pair of parallel sides
exactly one pair of opposite angles congruent
diagonals bisect each other
both pairs of opposite angles are congruent
both pairs of opposite sides are parallel
diagonals bisect both pairs of opposite angles
has 4 sides
diagonals are perpendicular
all 4 angles are congruent(right)
all 4 sides are congruent
both pairs of base angles are congruent
diagonals are congruent
2 pairs of consecutive congruent sides
one pair (legs) of opposite sides congruent

Explanation:

• A rectangle is a quadrilateral (has 4 sides).
• In a rectangle, both pairs of opposite sides are parallel (by definition of a parallelogram, and a rectangle is a special parallelogram).
• Both pairs of opposite sides are congruent (property of parallelograms, and rectangles are parallelograms).
• All pairs of consecutive angles are supplementary (in a parallelogram, consecutive angles are supplementary, and rectangles are parallelograms).
• Diagonals bisect each other (property of parallelograms, and rectangles are parallelograms).
• Both pairs of opposite angles are congruent (property of parallelograms, and rectangles are parallelograms).
• All 4 angles are congruent (right angles, \(90^{\circ}\) each).
• Diagonals are congruent (a unique property of rectangles among parallelograms).

Answer:

All pairs of consecutive angles are supplementary, Both pairs of opposite sides are congruent, Diagonals bisect each other, Both pairs of opposite angles are congruent, both pairs of opposite sides are parallel, Has 4 sides, All 4 angles are congruent(right), Diagonals are congruent.