You will be able to determine that the parallelogram is a rhombus if at least one of the following conditions is met:
Given the parallelogram:
Is this parallelogram a rhombus?
Given the parallelogram:
Is this parallelogram a rhombus?
Look at the parallelogram below:
The diagonals form 90 degrees at the center of the parallelogram.
Is this parallelogram a rhombus?
Given the parallelogram:
Is this parallelogram a rhombus?
Look at the parallelogram below:
The diagonals form 2 pairs of different angles at the center of the parallelogram.
Is the parallelogram a rhombus?
Given the parallelogram:
Is this parallelogram a rhombus?
The definition of a rhombus is "a quadrilateral with all sides equal"
Therefore, the square in the diagram is indeed a rhombus
Thus, the correct answer is answer A.
True
Given the parallelogram:
Is this parallelogram a rhombus?
The definition of a rhombus is "a parallelogram with all sides equal", and since it is also a type of parallelogram, it is a parallelogram with one pair of adjacent and equal sides (since in a parallelogram opposite sides are equal)
In the parallelogram shown in the drawing, the adjacent sides are clearly not equal in length,
therefore the parallelogram shown in the drawing is not a rhombus.
Therefore the correct answer is answer B.
Not true
Look at the parallelogram below:
The diagonals form 90 degrees at the center of the parallelogram.
Is this parallelogram a rhombus?
The parallelogram whose diagonals are perpendicular to each other (meaning the angle between them is ) is a rhombus, therefore the given parallelogram is a rhombus.
Therefore, the correct answer is answer A.
Yes.
Given the parallelogram:
Is this parallelogram a rhombus?
True
Look at the parallelogram below:
The diagonals form 2 pairs of different angles at the center of the parallelogram.
Is the parallelogram a rhombus?
No.
Given the parallelogram:
Is this parallelogram a rhombus?
Is this parallelogram necessarily a rhombus?
Is this parallelogram necessarily a rhombus?
Given the parallelogram:
Is this parallelogram a rhombus?
Not true
Is this parallelogram necessarily a rhombus?
Yes
Is this parallelogram necessarily a rhombus?
No