From a parallelogram to a rhombus - Examples, Exercises and Solutions

You will be able to determine that the parallelogram is a rhombus if at least one of the following conditions is met:

If in the parallelogram there is a pair of adjacent equal sides - it is a rhombus.
If in the parallelogram the diagonals bisect each other, forming angles of $90^o$ degrees, that is, they are perpendicular - it is a rhombus.
If in the parallelogram one of the diagonals is the bisector - it is a rhombus.

Practice From a parallelogram to a rhombus

Question 1

Given the parallelogram:

Is this parallelogram a rhombus?

Question 2

Given the parallelogram:

Is this parallelogram a rhombus?

Question 3

Look at the parallelogram below:

The diagonals form 90 degrees at the center of the parallelogram.

Is this parallelogram a rhombus?

Question 4

Given the parallelogram:

Is this parallelogram a rhombus?

Question 5

Look at the parallelogram below:

The diagonals form 2 pairs of different angles at the center of the parallelogram.

Is the parallelogram a rhombus?

examples with solutions for from a parallelogram to a rhombus

Exercise #1

Given the parallelogram:

Is this parallelogram a rhombus?

Video Solution

Answer

True

Exercise #2

Given the parallelogram:

Is this parallelogram a rhombus?

Video Solution

Answer

Not true

Exercise #3

Look at the parallelogram below:

The diagonals form 90 degrees at the center of the parallelogram.

Is this parallelogram a rhombus?

Video Solution

Answer

Yes.

Exercise #4

Given the parallelogram:

Is this parallelogram a rhombus?

Video Solution

Answer

True

Exercise #5

Look at the parallelogram below:

The diagonals form 2 pairs of different angles at the center of the parallelogram.

Is the parallelogram a rhombus?

Video Solution

Answer

No.

Question 1

Given the parallelogram:

Is this parallelogram a rhombus?

Question 2

Is this parallelogram necessarily a rhombus?

Question 3

Is this parallelogram necessarily a rhombus?