Question

Which of the following statements are true for rectangles?
A. All interior angles are right angles.
B. Diagonals are perpendicular to each other.
C. Diagonals are equal.
D. Opposite angles are supplementary
Choose the correct answer from the options given below:

• A. A and B only
• B. A and C only
• C. A, B and C only
• D. A. C and D only

Answer 1

The Correct Option is D

To determine which statements are true for rectangles, we need to analyze each given statement based on the properties of rectangles:

1. A. All interior angles are right angles.
   This statement is true because a rectangle is defined as a quadrilateral with all interior angles being 90 degrees.
2. B. Diagonals are perpendicular to each other.
   This statement is false for rectangles. In a rectangle, the diagonals bisect each other but are not necessarily perpendicular. Perpendicular diagonals are a property of rhombuses.
3. C. Diagonals are equal.
   This statement is true. In a rectangle, the diagonals are congruent (equal in length).
4. D. Opposite angles are supplementary.
   This statement is true. Since all angles in a rectangle are right angles (90 degrees), each pair of opposite angles sums to 180 degrees, fulfilling the property of being supplementary.

Therefore, the correct answer is: A, C and D only.