Question

is parallelogram fghi a square?
yes
no

Explanation:

Step1: Identify parallelogram properties

In parallelogram $FGHI$, diagonals bisect each other (given by congruent segments on $FG$ and $IG$ at point $E$).

Step2: Check square criteria

A square is a parallelogram with perpendicular, congruent diagonals. Here, diagonals intersect at $90^\circ$ (perpendicular), and the marked segments show diagonals bisect each other, but we are not given that the diagonals are congruent (only that they are bisected). A rhombus also has perpendicular diagonals but is not a square unless diagonals are congruent or angles are right angles (neither confirmed here).

Step3: Conclude the result

We lack sufficient information to confirm it is a square; it could be a rhombus.

Answer:

no