Geometry

Question Analysis:
This question evaluates depth of understanding by asking students to identify the incorrect statement about parallelogram diagonals.

Key Concept Explanation:
Diagonals in a parallelogram always bisect each other (A, D) and create four triangles of equal area (C).
However, only rectangles (a subset of parallelograms) have equal-length diagonals (B is false).

Step-by-Step Solution:
Review each option:
A and D: True (defining properties).
C: True (triangles are congruent via SAS, so areas are equal).
B: False (e.g., a rhombus has unequal diagonals).

Option Analysis:
Option B is the false statement. Rectangles have equal diagonals, but general parallelograms do not.
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