Triangle ABE = Triangle CBE

ABCD is a kite

Draw BD and AC intersecting at E

Definition

SSS (Side-Side-Side)

CPCTC

Triangle BAD = Triangle BCD

AC is perpendicular to BD

Given

Algebra

SAS (Side-Angle-Side)

<BEA = <BEC

<BAC = <BCA and <DAC = <DCA

<ABD = <CBD

If the angles in a linear pair are equal, then their sides are perpendicular

AB = BC and CD = DA

If two sides of a triangle are equal, the angles opposite them are equal

BE = BE and DE = DE and BD = BD

Two points determine a line

CPCTC