Look at the square below.
Is BE equal to CE?
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Look at the square below.
Is BE equal to CE?
According to the properties of the square, the diagonals intersect each other, therefore, BE is equal to CE
Yes
Look at the square below:
Is a parallelogram a square?
In a square, the diagonals always bisect each other at right angles. This means point E divides both diagonals exactly in half, making all four segments from E to each vertex equal.
The orientation doesn't matter! A square's properties remain the same regardless of how it's positioned. The diagonals still bisect each other equally.
In rectangles, diagonals bisect each other too, but they're not equal length. In squares, diagonals are both equal length AND bisect each other, making segments like BE and CE always equal.
Yes! This diagonal property helps with distance calculations, finding coordinates, and proving geometric relationships in squares and other problems involving square geometry.
All four segments from the center E to each vertex are equal! So AE = BE = CE = DE. This is because E is equidistant from all four corners of the square.
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