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Earn +20 ptsQ: What are Parallelogram Are The Diagonals Congruent?
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Should the diagonals of a parallelogram always be congruent?
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
Are the diagonals congruent if a rhombus is a parallelogram?
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
What is the house builder's theorem?
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Does the diagonals of a parallelogram bisect the angles?
No, the diagonals of a parallelogram do not necessarily bisect the angles. The diagonals of a parallelogram divide it into four congruent triangles, but they do not necessarily bisect the angles of those triangles.
What is an easy conditional statement that relates to geometry?
If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.
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