CONGRUENCE 1B

In the figure below, prove that ΔEFG and ΔGEH  are congruent. (diagram not to scale) 

Solution

GIVEN: Quadrilateral EFGH,

              EF=GH,

              <FGE=<GEH

REQUIRED TO PROVE: ΔEFG ≡ΔEGH.

PROOF:  EG=GE           (given)

              <FGE=<GEH    (given)

               EG= GE          (common)

Hence ΔEFG ≡ΔEGH  (By SAS)

TRY THIS…………………

In the figure below, prove that ΔSTU and ΔUSV are congruent.

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