You will be able to determine that the parallelogram is a rhombus if at least one of the following conditions is met:
Can the given parallelogram be considered a rhombus?
Look at the parallelogram below:
If the diagonals cross at 90 degree angles at the center of the parallelogram.
Is this parallelogram considered a rhombus?
Can the above parallelogram be considered 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?
Can the given parallelogram be considered a rhombus?
The definition of a rhombus is "a parallelogram with equal sides"
In the parallelogram shown in the drawing, the adjacent sides are clearly not equal in length,
Therefore the parallelogram shown in the drawing cannot be considered a rhombus.
Therefore the correct answer is answer B.
No
Look at the parallelogram below:
If the diagonals cross at 90 degree angles at the center of the parallelogram.
Is this parallelogram considered 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.
Can the above parallelogram be considered a rhombus?
The definition of a rhombus is "a quadrilateral with all equal sides"
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?
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