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.

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.

Accepted Answer

Step 1: Analyze Each Statement
Statement A:
All interior angles are right angles.

This is true, as a rectangle is defined as a quadrilateral with all angles equal to 
90
∘
90 
∘
  .

**Statement B:**
Diagonals are perpendicular to each other.

This is false, as the diagonals of a rectangle bisect each other but do not intersect at 
90
∘
90 
∘
 . Perpendicular diagonals are a property of squares and rhombuses, not rectangles.

**Statement C:**
Diagonals are equal.

This is true, as the diagonals of a rectangle have equal lengths.

**Statement D:**
Opposite angles are supplementary.

This is true, as any two consecutive angles in a rectangle add up to 
180
∘
180 
∘
 , making opposite angles supplementary.

**Step 2: Correct Answer**
The statements A, C, and D are true for rectangles.

Thus, the correct answer is (d) A, C, and D only.

Answer

Answer

Answer