Identifying a Parallelogram: Identification by diagonals

Using the properties of the perimeter of the parallelogramUsing angle propertiesUsing the theorem: If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is considered a parallelogramIdentification by one pair of sides
Question 1

Below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 2 and FC = 3.

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Is the quadrilateral a parallelogram?

Question 2

Look at the quadrilateral ABCD shown below.

AF = 2 and FD = 2.

BF = 5 and FC = 5.

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Is this quadrilateral a parallelogram?

Question 3

Shown below is the quadrilateral ABCD.

AF = 5 and FD = 6.

BF = 7 and FC = 7.

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Is the quadrilateral a parallelogram?

Question 4

Look at the quadrilateral ABCD.

AF = 4

FD = 4

BF = 5

FC = 5

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Is this quadrilateral a parallelogram?

Question 5

Look at the quadrilateral ABCD.

AF = 4

FD = 6

BF = 5

FC = 5

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Is this quadrilateral a parallelogram?

Examples with solutions for Identifying a Parallelogram: Identification by diagonals

Exercise #1

Below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 2 and FC = 3.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

No

Exercise #2

Look at the quadrilateral ABCD shown below.

AF = 2 and FD = 2.

BF = 5 and FC = 5.

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Is this quadrilateral a parallelogram?

Video Solution

Answer

Yes.

Exercise #3

Shown below is the quadrilateral ABCD.

AF = 5 and FD = 6.

BF = 7 and FC = 7.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

No.

Exercise #4

Look at the quadrilateral ABCD.

AF = 4

FD = 4

BF = 5

FC = 5

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Is this quadrilateral a parallelogram?

Video Solution

Answer

Yes

Exercise #5

Look at the quadrilateral ABCD.

AF = 4

FD = 6

BF = 5

FC = 5

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Is this quadrilateral a parallelogram?

Video Solution

Answer

No

Question 1

Below is the quadrilateral ABCD.

AF = 8 and FD = 8.

BF = 10 and FC = 10.

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Is the quadrilateral a parallelogram?

Question 2

Shown below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 8 and FC = 6.

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Is the quadrilateral a parallelogram?

Question 3

Shown below is the quadrilateral ABCD.

AF = 4 and FD = 4.

BF = 9 and FC = 9.

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Is the quadrilateral a parallelogram?

Question 4

Below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 8 and FC = 5.

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Is the quadrilateral a parallelogram?

Question 5

Shown below is the quadrilateral ABCD.

AF = 5 and FD = 5.

BF = 8 and FC = 8.

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Is the quadrilateral a parallelogram?

Exercise #6

Below is the quadrilateral ABCD.

AF = 8 and FD = 8.

BF = 10 and FC = 10.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes.

Exercise #7

Shown below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 8 and FC = 6.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

No.

Exercise #8

Shown below is the quadrilateral ABCD.

AF = 4 and FD = 4.

BF = 9 and FC = 9.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes.

Exercise #9

Below is the quadrilateral ABCD.

AF = 4 and FD = 6.

BF = 8 and FC = 5.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

No.

Exercise #10

Shown below is the quadrilateral ABCD.

AF = 5 and FD = 5.

BF = 8 and FC = 8.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes

Question 1

Below is the quadrilateral ABCD.

AF = 2 and FD = 3.

BF = 5 and FC = 4.

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Is the quadrilateral a parallelogram?

Question 2

The quadrilateral ABCD is shown below.

AF = 10 and FD = 10.

BF = 5 and FC = 5.

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Is the quadrilateral a parallelogram?

Exercise #11

Below is the quadrilateral ABCD.

AF = 2 and FD = 3.

BF = 5 and FC = 4.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

No.

Exercise #12

The quadrilateral ABCD is shown below.

AF = 10 and FD = 10.

BF = 5 and FC = 5.

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Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes