The line that divides the kite into two equal part is its line of symmetry, which is BD. Thus, the statement that must be true of the given kite is: OPtion A. AB ≅ CB
A line of symmetry when drawn through a shape divides it into two equal parts with the same characteristics. So that a kite always have 1 line of symmetry. A kite is a quadrilateral with a line of symmetry and the sum of its internal angles to be [tex]180^{o}[/tex].
Considering the kite in the question, its line of symmetry is BD.
So that:
ΔABD ≅ ΔCBD
In that case,
Therefore, the statement that must be true about the kite shown is:
Option A. AB ≅ CB (symmetrical property of a given shape)
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