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.**
Rectangle Diagonals 9Ecd95
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