Question

is parallelogram fghi a square? yes no

Explanation:

Step1: Recall square - parallelogram properties

A square is a parallelogram with four equal - length sides and four right angles.

Step2: Analyze side - length condition

In parallelogram \(FGHI\), we see that all sides are marked with the same number of tick - marks, indicating that all four sides are equal in length (\(FG = GH=HI = IF = 15\)).

Step3: Analyze angle condition

The diagonals of the parallelogram are perpendicular (\(\angle FJH = 90^{\circ}\)). In a parallelogram, if the diagonals are perpendicular, it is a rhombus. Since all sides are equal and the diagonals are perpendicular, and in a parallelogram, if the diagonals are perpendicular and the sides are equal, the angles of the parallelogram are right angles. So, it satisfies the properties of a square.

Answer:

yes