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Parallelogram ABCD ​ is a rectangle.

Which statements are true?

Select each correct answer.


AC⎯⎯⎯⎯⎯⊥BD⎯⎯⎯⎯⎯

AC=BD

AC=AB

AB⎯⎯⎯⎯⎯⊥BC⎯⎯⎯⎯⎯

Parallelogram ABCD ​ is a rectangle. Which statements are true? Select each correct answer. AC⎯⎯⎯⎯⎯⊥BD⎯⎯⎯⎯⎯ AC=BD AC=AB AB⎯⎯⎯⎯⎯⊥BC⎯⎯⎯⎯⎯ class=

Answer :

cryssatemp

Answer:

[tex]AC=BD[/tex]

[tex]AB\perp BC[/tex]

Step-by-step explanation:

A parallelogram is a quadrilateral (4-sided polygon)  that has two pairs of parallel sides.  

In this sense, this figure shows a especial parallelogram called rectangle, since its four sides form right angles ([tex]90\°[/tex]).

Hence:

[tex]AB\parallel DC[/tex]

[tex]AD\parallel BC[/tex]

[tex]AB=DC[/tex]

[tex]AD=BC[/tex]

[tex]AB\perp BC[/tex]

[tex]AD\perp DC[/tex]

So, the correct choices among the given options are:

[tex]AC=BD[/tex]

[tex]AB\perp BC[/tex]

The true statement of the parallelogram ABCD are as follows:

  • AC=BD
  • AB⊥BC

Parallelogram ABCD is a rectangle.

The following statements are true about parallelogram ABCD.

  • AC=BD. The diagonal of a rectangle bisect each other and are equal to each other.

  • AB⊥BC. All four angles of a rectangle are 90 degree. Therefore, the adjacent sides are perpendicular to each other.

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