Look at the rectangle and the square:

anna says that the length of diagonal sq is two times the length of diagonal om.

is anna correct? justify your answer and show all your work. your work should state the theorem you used to find the lengths of the diagonals.

Anna is incorrect.

Step-by-step explanation:

Find lengths of diagonals SQ and OM.

1. Consider right triangle SQR. By the Pythagorean theorem,

2. Consider right triangle OML. By the Pythagorean theorem,

Since diagonal SQ is not two times diagonal OM. Thus, Anna is incorect.

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