29.07.2022

Which of the following statements must be true about parallelogram ABCD?
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09.07.2023, solved by verified expert
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Which of the following statements must be true, №18011260, 29.07.2022 11:58

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

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Mathematics
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P Answered by PhD

9514 1404 393

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

Mathematics
Step-by-step answer
P Answered by PhD

9514 1404 393

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

Mathematics
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P Answered by Master

\angle A+\angle D=180^{\circ}

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

Mathematics
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P Answered by Master

Step-by-step explanation:

the answer is c

Mathematics
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P Answered by Master

Option B

Step-by-step explanation:

A parallelogram is one where opposite sides are parallel and equal.

Also diagonals bisect each other

SInce parallelogram is not symmetric about diagonal option a cannot be true.

Even if adjacent sides are equal, since diagonals do not bisect angles, the reflection is not exact.

B is true since opposite sides are parallel line segment joining mid points will be a symmetric line

C is false since opposite sides are congruent is superfluous because when parallelogram it is automatically defined as opposite sides equal

D is false as in  a parallelogram diagonal does not divide into two symmetrical figures the parallelogram

Mathematics
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P Answered by Master

Option B

Step-by-step explanation:

A parallelogram is one where opposite sides are parallel and equal.

Also diagonals bisect each other

SInce parallelogram is not symmetric about diagonal option a cannot be true.

Even if adjacent sides are equal, since diagonals do not bisect angles, the reflection is not exact.

B is true since opposite sides are parallel line segment joining mid points will be a symmetric line

C is false since opposite sides are congruent is superfluous because when parallelogram it is automatically defined as opposite sides equal

D is false as in  a parallelogram diagonal does not divide into two symmetrical figures the parallelogram

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