Answers

2015-05-16T16:36:58+05:30
In triangle AHE AND FGC ...1.AE = GC(GIVEN)
2.ANGLE HAE= ANGLE FCG = 90 DEGREE( ALL ANGLES OF RECTANGLE R 90 DEGRESS)
3.ANGLE EHA = ANGLE CGF = 45 DEGREE( ANGLE  SUM PROPERTY OF TRIANGLE)
So by AAS axion of congruency AHE is congruent to  FGC
so by cpct EH = GF 
therefore EH is parallel to GF
Similarly in Triangle BEF AND TRIANGLE HDG
1. HD = BF(GIVEN)
2. ANGLE HDG = ANGLE EBF = 90 DEGREES
3.ANGLE DGH = ANGLE BFE = 45 DEGREES
So by AAS axiom of congruency 
 Triangle BEF is congruent to TRIANGLE HDG
so by cpct HG = EF
therefore HG is parallel toEF
And hence EFGH is a parallelogram! 
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