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A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Verified Answer :

Quadrilateral ABCD is a kite
AB is congruent to AD -- definition of a kite
BC is congruent to DC -- definition of a kite

draw a line segment AC
AC is congruent to itself -- identity
triangle ABC is congruent to triangle ADC -- SSS
angle ABC is congruent to ADC
QED

Answer:

BA≅BC Given

DA≅DC Given

ΔCBE ≅ ΔABE by SSS

ΔABD ≅ ΔCBD by SSS

∠A ≅ ∠C by CPCTC

∠B ≅ ∠D by CPCTC

Step-by-step explanation: