Subjects geometry

Rectangle Diagonals 9Ecd95

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks which property is true for all rectangles regarding their diagonals and sides. 2. Recall the definition and properties of rectangles: - A rectangle is a quadrilateral with four right angles. - Opposite sides are equal and parallel. - The diagonals of a rectangle are equal in length. 3. Let's analyze each option: - "The diagonals are congruent": This is true because in rectangles, the diagonals have the same length. - "The consecutive sides are congruent": This is false because consecutive sides in a rectangle are adjacent sides of different lengths (unless it is a square). - "The diagonals are perpendicular": This is false for rectangles; diagonals are perpendicular only in rhombuses and squares. - "The diagonals bisect the angles": This is false for rectangles; diagonals bisect angles only in rhombuses and squares. 4. Therefore, the correct statement for all rectangles is: **The diagonals are congruent.**