Because △AEC can coincide with △ABD after rotation, and AE = AB and AC = AD.
So BD=CE
So < ADB = & lt(American Cinema Editors) American Film and Television Editors Association.
So < DFC = < computer aided design.
Because △ACD is an equilateral triangle
So < CAD=60 degrees.
So < DFC=60 degrees.
2. Because the square, BC=DC and triangle ADE are all equal to triangle ABG, BG=DE, so BC-BG=DC-DE, that is, CG=CE.
(2) △AEF is an isosceles right triangle. Because △ADE≌ABF, angle FAE = ≌ BAE+≌ Fab = 90 and AF=AE because angle BAD = 90 (quadrilateral ABCD is a square).
So △AEF is an isosceles right triangle.
(3) ∠ DAE = ∠ GAE = ∠ Bag = ∠ Fab = 30 because AE shares ∠DAG equally.
△AFG is an equilateral triangle, then DE+BG=FB+BG=FG=AE=AF=AG.