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Course: Staging content lifeboat > Unit 19

Lesson 3: Geometric proofs design sprint
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Staging content lifeboat
Tomer
Geometric proofs design sprint
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Anmol's sandbox

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Problem

Sam knew the following things for the given figure:
  • AB and DC are perpendicular to BC.
  • DB bisects ∠ABC and AC bisects ∠DCB.
  • EB=EC
Match the statements with correct reasons to prove that △BEA≅△CED.
1.∠AEB=∠DEC( Vertically opposite angles)
2.∠ABE=∠DCE(45° each)
3.EB=EC(Given)
4.AE=ED(△AEB and △DEC are congruent)
5.∠BAE=∠CDE (Angles opposite to equal sides)
1