QUESTION IMAGE
Question
is parallelogram ghij a square?
yes
no
Step1: Recall square properties
A square is a parallelogram with all sides equal and diagonals equal in length.
Step2: Analyze given parallelogram
In parallelogram \( GHIJ \), the diagonals are divided into segments: one diagonal has segments of length \( 66 \) (so total diagonal length \( 66\times2 = 132 \)), and the other diagonal has segments of length \( 65 \) (so total diagonal length \( 65\times2 = 130 \)). Since the diagonals of a square must be equal, and here the diagonals have different lengths (\( 132
eq130 \)), the parallelogram cannot be a square.
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no