A quadrilateral is a ______ if and only if its diagonals are perpendicular?
Orthodiagonal quadrilateral (sometimes known as a perpendicular quad)
My immediate thought was 'kite', but orthodiagonal quadrilaterals cover more cases, e.g.:
Any orthodiagonal quadrilateral can be rotated and translated so that one of its diagonals lies along the
If the orthodiagonal quadrilateral is convex then this can be done with
A bilaterally symmetric convex orthodiagonal quadrilateral is a kite. Any kite can be translated and rotated so that its vertices are
If
If
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Rhombus, Square
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There is not enough information to decide which single quadrilateral this could be.
It could be an irregular quadrilateral whose diagonals happen to intersect at 90°.
Similarly a trapezium, concave quadrilateral, kite, rhombus or square.
It is not given whether the diagonals are equal, or bisect each other, are line of symmetry of the quadrilateral in questions, nor whether the quad itself has equal or parallel sides.
There are therefore multiple possibilities.
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A quadrilateral is a rhombus if and only if its diagonals are perpendicular.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A parallelogram with four equal sides is also called a _______?
- Two rhombuses have sides with lengths of #6 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/6 #, what is the difference between the areas of the rhombuses?
- What is the difference between a parallelogram and a rhombus?
- A parallelogram has sides with lengths of #12 # and #5 #. If the parallelogram's area is #42 #, what is the length of its longest diagonal?
- How do you prove that A(-2,2), B(1,4), C(2,8) and D(-1,6) is a parallelogram?

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