Mathematics
In parallelogram ABCD, diagonal AC and BD intersect each other at point O. Then:
AC = BD
∠AOB = 90°
The four triangles formed are congruent
AC and BD bisect each other
Rectilinear Figures
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Answer
Given; ABCD is a parallelogram in which AC and BD are the diagonals of the parallelogram.
As we know that in a parallelogram, opposite sides are parallel and equal in length, opposite angles are equal and consecutive angles are supplementary.
Option 1: AC = BD is true only for rectangles or squares, not all parallelograms.
Option 2: ∠AOB = 90° is true only for rhombuses or squares, not all parallelograms.
Option 3: The four triangles formed are congruent is true only for rhombuses or squares, not all parallelograms.
Option 4: AC and BD bisect each other is a fundamental property of all parallelograms.
Hence, option 4 is the correct option.
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