Question

select all the correct answers. which statements are always true for a rectangle? all sides are congruent. the diagonals of a rectangle are perpendicular to each other. all angles are congruent. the diagonals are congruent. the opposite sides are parallel.

Explanation:

1. All sides are congruent: This only applies to squares (a special rectangle), not all rectangles, so it is false.
2. The diagonals of a rectangle are perpendicular to each other: Diagonals are only perpendicular in squares/rhombuses, not all rectangles, so it is false.
3. All angles are congruent: By definition, a rectangle has four right (90°) angles, so all angles are congruent, this is true.
4. The diagonals are congruent: A key property of rectangles is that their diagonals are equal in length, this is true.
5. The opposite sides are parallel: Rectangles are a type of parallelogram, so opposite sides are parallel, this is true.

Answer:

• All angles are congruent.
• The diagonals are congruent.
• The opposite sides are parallel.