Determining if a Parallelogram ABCD with Measurements 26 and 64 is a Rectangle

Is the parallelogram below a rectangle?

AAABBBCCCDDD2664

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Step-by-step video solution

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00:00 Is the parallelogram a rectangle?
00:04 A rectangle is a parallelogram with a right angle
00:07 Let's calculate the angle and check, if it's right then it's a rectangle
00:10 The angle is right therefore the parallelogram is a rectangle
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is the parallelogram below a rectangle?

AAABBBCCCDDD2664

2

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.

3

Final Answer

Yes

Practice Quiz

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AAABBBDDDCCC90°

The quadrilateral ABCD is a parallelogram.

\( ∢B=90° \)

Is it a rectangle?

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