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If a parallelogram is a rectangle then it's diagonals are what?
Its diagonals are equal in length
Is the diagonals of a parallelogram the same length?
No, the diagonals of a parallelogram are not necessarily the same length. In a general parallelogram, the diagonals can be of different lengths. However, in a special case of a parallelogram, such as a rectangle or a rhombus, the diagonals may have specific properties, but they are still not equal in a general parallelogram. Only in a rectangle do the diagonals have the same length.
Is every property of parallelogram also a property of all rectangles?
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
What kind of quadrilateral do you get from diagonals that are not equal in length bisect each other and are not perpendicular?
A parallelogram.
Which is not true for all palelogram?
To determine which statement is not true for all parallelograms, let's review the properties of parallelograms in general. A parallelogram is a quadrilateral with the following properties: Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal. Consecutive angles are supplementary (i.e., their sum is 180 degrees). Diagonals bisect each other (each diagonal cuts the other into two equal parts). Given these properties, we can formulate some statements about parallelograms and identify which one is not universally true. Here are a few statements, with one being false: Opposite sides of a parallelogram are parallel. Opposite angles of a parallelogram are equal. The diagonals of a parallelogram are equal in length. The diagonals of a parallelogram bisect each other. Analysis: **Statement 1** is true: By definition, opposite sides of a parallelogram are parallel. **Statement 2** is true: Opposite angles in a parallelogram are equal. **Statement 4** is true: The diagonals of a parallelogram bisect each other. Statement 3: The diagonals of a parallelogram are equal in length This statement is **not true for all parallelograms**. It is only true for special types of parallelograms such as rectangles and squares, where the diagonals are equal. In a general parallelogram, the diagonals are not necessarily of equal length. Thus, the statement **"The diagonals of a parallelogram are equal in length"** is not true for all parallelograms.
If a parallelogram is a rectangle then it's diagonals are what?
Its diagonals are equal in length
The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
Is the diagonals of a parallelogram the same length?
No, the diagonals of a parallelogram are not necessarily the same length. In a general parallelogram, the diagonals can be of different lengths. However, in a special case of a parallelogram, such as a rectangle or a rhombus, the diagonals may have specific properties, but they are still not equal in a general parallelogram. Only in a rectangle do the diagonals have the same length.
Are diagonals in a parallelogram equal in length?
the sides that are parallel of each other are equal. * * * * * True, but that was not the question! In general, the diagonals are not of equal length.
Do all parallelogram have diagonals of equal length?
yes
What is true of the diagonals of a rectangle that isn't true of the diagonals of a parallelogram?
They are of equal length.
Is every property of parallelogram also a property of all rectangles?
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
Is a rectangle a special case of parallelogram why?
yes it is it is a parallelogram of its angles is right or The two diagonals are equal in length
A quadrilateral with equal diagonals and no right angles?
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.
What kind of quadrilateral do you get from diagonals that are not equal in length bisect each other and are not perpendicular?
A parallelogram.
Is a parallelogram's diagonals perpendicular?
If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.
Do the diagonals of parallelogram bisect each other?
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
