From a Parallelogram to a Rectangle: Identifying and defining elements

Examples with solutions for From a Parallelogram to a Rectangle: Identifying and defining elements

Exercise #1

Is the parallelogram below a rectangle?

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Video Solution

Step-by-Step Solution

Let's calculate angle A:

92+33=125 92+33=125

The parallelogram in the diagram is not a rectangle since angle A is greater than 90 degrees, and in a rectangle all angles are right angles.

Answer

No

Exercise #2

Is the parallelogram below a rectangle?

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Video Solution

Step-by-Step Solution

Let's calculate angle B:

64+26=90 64+26=90

The parallelogram in the drawing is indeed a rectangle since a parallelogram with at least one right angle is a rectangle.

Answer

Yes

Exercise #3

Is the parallelogram below a rectangle?

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Video Solution

Step-by-Step Solution

The parallelogram in the drawing cannot be a rectangle because in a rectangle all angles are right angles, meaning they are equal to 90 degrees.

Angle A is greater than 90 degrees.

Answer

No

Exercise #4

AAABBBDDDCCC120°

Is this parallelogram a rectangle

Video Solution

Answer

No

Exercise #5

AAABBBDDDCCC45°45°

Is this parallelogram a rectangle?

Video Solution

Answer

Yes

Exercise #6

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The quadrilateral ABCD is a parallelogram.

AD = CB

Is the parallelogram a rectangle?

Video Solution

Answer

Yes, a parallelogram with equal diagonals is a rectangle.

Exercise #7

AAABBBDDDCCC90°

The quadrilateral ABCD is a parallelogram.

B=90° ∢B=90°

Is it a rectangle?

Video Solution

Answer

Yes.

Exercise #8

Perhaps all parallelogram is also a rectangle?

Video Solution

Answer

No, a rectangle necessarily has angles of 90°.

Exercise #9

Given the following parallelogram:

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Is it a rectangle?

Video Solution

Answer

No

Exercise #10

Side DA is equal to side DE.

Is the parallelogram a rectangle?

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Video Solution

Answer

Yes.