Identifying a Parallelogram: Identification by one pair of sides

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 diagonals
Question 1

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC44

Is it possible to determine that the quadrilateral is a parallelogram?

Question 2

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC43

Is it possible to determine that the quadrilateral is a parallelogram?

Question 3

The quadrilateral ABCD is shown below.

AB||CD

AAABBBDDDCCC88

Is the quadrilateral a parallelogram?

Question 4

The quadrilateral ABCD is shown below.

AB||CD

\( \)AAABBBDDDCCC

Is it a parallelogram?

Question 5

The quadrilateral ABCD is shown below.

AC||BD

AB||CD

AAABBBDDDCCC

Is the quadrilateral a parallelogram?

Examples with solutions for Identifying a Parallelogram: Identification by one pair of sides

Exercise #1

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC44

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

Yes

Exercise #2

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC43

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

No

Exercise #3

The quadrilateral ABCD is shown below.

AB||CD

AAABBBDDDCCC88

Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes

Exercise #4

The quadrilateral ABCD is shown below.

AB||CD

AAABBBDDDCCC

Is it a parallelogram?

Video Solution

Answer

No.

Exercise #5

The quadrilateral ABCD is shown below.

AC||BD

AB||CD

AAABBBDDDCCC

Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes.

Question 1

Look at the quadrilateral ABCD:

AAABBBDDDCCC1414

Is the quadrilateral a parallelogram?

Question 2

Look at the quadrilateral ABCD:

AAABBBDDDCCC9955

Is the quadrilateral a parallelogram?

Question 3

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC1066

Is it possible to determine that the quadrilateral is a parallelogram?

Question 4

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC1212

Is it possible to determine that the quadrilateral is a parallelogram?

Question 5

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC78

Is it possible to determine that the quadrilateral is a parallelogram?

Exercise #6

Look at the quadrilateral ABCD:

AAABBBDDDCCC1414

Is the quadrilateral a parallelogram?

Video Solution

Answer

No

Exercise #7

Look at the quadrilateral ABCD:

AAABBBDDDCCC9955

Is the quadrilateral a parallelogram?

Video Solution

Answer

Yes

Exercise #8

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC1066

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

Yes

Exercise #9

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC1212

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

Yes

Exercise #10

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC78

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

No

Question 1

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC44

Is it possible to determine that the quadrilateral is a parallelogram?

Question 2

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC3

Is it possible to determine that the quadrilateral is a parallelogram?

Exercise #11

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC44

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

No

Exercise #12

Given the quadrilateral ABCD:

AC||BD

AAABBBDDDCCC3

Is it possible to determine that the quadrilateral is a parallelogram?

Video Solution

Answer

No