#I’m stuck on question 11
31 messages · Page 1 of 1 (latest)
The diagonals of a rectangle are equal and bisect each other
Which means that AE = EC, and same for the other
@sacred cosmos
The triangle?
Ya
Isn’t ED apart of triangle DEC
Yeah
And not apart of DFC?
But you can continue from here
The sides of rhombus are equal
So DE = EC = CF = DF
So AE = EC = CF and BE = ED = DF
Once again SSS criterion
So since the two triangles are congruent, angles BAE = CDF
And since CF AND DF are equal, angle CDF = DCF = 58
So now that you have two angles, calculate the third angle (DFC)
EF is diagonal of rhombus, and the diagonals of rhombus bisect the angles,
Which means that DFE = FEC = 1/2 of DFC
Yep
Thanks for ur help