If AB and CD are perpendicular to BC and AB=CD, show that EB=EC.
    A B C E D


Answer:


Step by Step Explanation:
  1. We are given that ABE=DCE=90 and AB=CD.

    We need to find the value of EB.
  2. In ABE and DCE, we have AB=CD[Given]ABE=DCE[Each 90]AEB=CED[Vertically opposite angles] ABEDCE[By AAS Criterion]
  3. As corresponding parts of congruent triangles are equal, we have EB=EC.

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