true false The diagonals of parallclogram bisect each other.
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TRUE 5HE DIAGONALS OF A PARALLELOGEAM BISECT EACH OTHER
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If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False – diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles. A kite with all consecutive angles congruent must be a square.
If the angle at which they meet is 90∘, then by the Pythagorean Theorem each side of the rectangle has length √p2+q2. So in particular all the sides of the parallelogram are equal, that is, we have a rhombus. Conversely, by a congruent triangles argument, if we have a rhombus, its diagonals meet at right angles.
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If the angle at which they meet is 90∘, then by the Pythagorean Theorem each side of the rectangle has length √p2+q2. So in particular all the sides of the parallelogram are equal, that is, we have a rhombus. Conversely, by a congruent triangles argument, if we have a rhombus, its diagonals meet at right angles.
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