Answer:
[tex]EG \perp FH[/tex]
[tex]m\angle EFH = 45^\circ[/tex]
Step-by-step explanation:
Given
See attachment for square EFGH
Required
Select the true statements
The sides of the square are EF, FG, GH and HE while the diagonals are: EG and FH
The diagonals of a square meet at [tex]90^\circ[/tex] . This implies that: EG and FH are perpendicular i.e. [tex]EG \perp FH[/tex]
Also, the diagonals divide the angles at the edges ([tex]90^\circ[/tex]) into two equal angles ([tex]45^\circ[/tex])
This means that:
[tex]m\angle EFH = 45^\circ[/tex]
The other two options are false.
i.e.
[tex]EP \ne EH[/tex]
[tex]FP \ne 2(EG)[/tex]
