A square has side lengths
equal to 4 cm.
Is the distance between BD and AC equal to the length of BD?
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A square has side lengths
equal to 4 cm.
Is the distance between BD and AC equal to the length of BD?
Firstly, let's think about the properties of a square—remembering that all sides are equal to each other.
In other words, all sides in the square are equal to 4 cm. As a result, we can determine that the distance between BD and AC is indeed equal to 4 since CD is also equal to 4.
Yes
Look at the square below:
Is a parallelogram a square?
The distance between diagonals BD and AC is the perpendicular distance between these two lines. Think of it as the shortest distance from one diagonal to the other, measured at a right angle.
The length of diagonal BD is how long the diagonal line is: ≈ 5.66 cm. The distance between diagonals is how far apart the two diagonal lines are: 4 cm.
In a square, the diagonals are perpendicular and meet at the center. The distance between them equals the side length because of the square's symmetry properties.
No! The Pythagorean theorem gives you diagonal length, but this question asks for distance between diagonals. These are completely different measurements.
Yes! For any square, the distance between diagonals always equals the side length. This is a special property that makes squares unique among rectangles.
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