Answer:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
Step-by-step explanation:
Triangle AED:
D=53(alternate interior angle)
A=180-90-53=37 (angle of triangle)
AA similarity criterion
DCE is similar to AED
angle BEA=180-90-53=37=angle A of AED
Thus: AA similarity criterion:
EBA is similar to AED
The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles
Thus:
EBA is congruent to AFE
EBA is congruent to AFEDCE is congruent to EFD
Congruent triangles are similar
Conclusion:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
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