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.
**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.
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.
No, it is not true.
not true
yes.
True.
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
True
True. All squares are rectangles, but not all rectangles are squares.
No, all chords are not diameters, though all diameters are chords.
I DO NOT NOW I did not see all. but all i saw true
true
It is true.
It is true.
No, it is not true.
true
That is true, all entrepreneurs are businessmen.
no all of them
No, it is not true.