High School

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ABCD is a square. Given only the choices below, which properties would you use to prove [tex]AEB \cong DEC[/tex] by SAS?

A. The diagonals are ⊥ to each other.
B. Opposite sides are ||.
C. The diagonals bisect each other.
D. All sides are congruent.

Answer :

All sides of a square re equal and opposite sides are parallel to each other.
Assuming that E is the point where the diagonals intersect (since we are not told in the question), then AEB ≅ DEC.
By SAS,
2 sides are equal. That is AE = EC and DE = EB.
The triangles share a common angle. That is
The property used t
he diagonals bisect each other.

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