contestada

in the figure, segment AB is parallel to CD, XY is the perpendicularbisector of AB, E is the midpoint of XY. Prove that AAEB SADEC.

Respuesta :

Given that segment AB is prallel to segment CD, we can treat segment AD as their transversal.

[tex]\angle BAE=\angle CDE[/tex]

Since they are alternate angles.

Next, since segments AD and BC intersects at E,

[tex]\angle AEB=\angle DEC[/tex]

Since the two angles are an example of opposite angles, and opposite angles have equal measurement.

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