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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

Mathematics, DAV Post Graduate College

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Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

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Mathematics

Which of the following statements are not true about parallelograms? Select all that apply. 1. The area of a parallelogram is half of the product of its length and width. 2. The angles formed by the diagonals of a parallelogram are complementary to each other. 3. The diagonals of a parallelogram bisect each other. 4. A diagonal divides a parallelogram into two congruent triangles. 5. Two consecutive angles of a parallelogram are supplementary.

Step-by-step answer

P Answered by PhD

4

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

Which of the following statements are not true about parallelograms? Select all that apply. 1. The area of a parallelogram is half of the product of its length and width. 2. The angles formed by the diagonals of a parallelogram are complementary to each other. 3. The diagonals of a parallelogram bisect each other. 4. A diagonal divides a parallelogram into two congruent triangles. 5. Two consecutive angles of a parallelogram are supplementary.

Step-by-step answer

P Answered by PhD

4

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

Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠D = 180° C) AD || CD D) ∠B ≅ ∠C

Step-by-step answer

P Answered by PhD

AD || BC

Step-by-step explanation:

Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠

Mathematics

Which of the following statements must be true about parallelogram ABCD? Options are below

Step-by-step answer

P Answered by Master

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

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

Mathematics

Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠D = 180° C) AD || CD D) ∠B ≅ ∠C

Step-by-step answer

P Answered by PhD

AD || BC

Step-by-step explanation:

Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠

Mathematics

Which of the following statements must be true about parallelogram ABCD? answers: A) ∠ABC ≅ ∠DAB B) BE ≅ CE C) BE ≅ DE D) AB || BC

Step-by-step answer

P Answered by Master

6

Step-by-step explanation:

the answer is c

Mathematics

Which statement is true about parallelograms? a. a parallelogram reflected across one of its diagonals is carried onto itself if its adjacent sides are congruent. b. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself. c. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself if its opposite sides are congruent. d. a parallelogram reflected across one of its diagonals is always carried onto itself.

Step-by-step answer

P Answered by Master

3

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

Which statement is true about parallelograms? a. a parallelogram reflected across one of its diagonals is carried onto itself if its adjacent sides are congruent. b. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself. c. a parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself if its opposite sides are congruent. d. a parallelogram reflected across one of its diagonals is always carried onto itself.

Step-by-step answer

P Answered by Master

3

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

Lmno is a parallelogram, with and . which statements are true about parallelogram lmno? select three options. x = 11 m∠l = 22° m∠m = 111° m∠n = 59° m∠o = 121°

Step-by-step answer

P Answered by Master

180

I believe the correct options are 1, 4, and 5.

Mathematics

Lmno is a parallelogram, with and . which statements are true about parallelogram lmno? select three options. x = 11 m∠l = 22° m∠m = 111° m∠n = 59° m∠o = 121°

Step-by-step answer

P Answered by Master

180

I believe the correct options are 1, 4, and 5.

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