contestada

1.

A quadrilateral ABCD is translated to the right by 2 units to obtain another quadrilateral A 'B'CD'.

Which statement is correct?

A.

The length of A B' must be two units less than the length of AB.

O

B.

The length of A B must be equal to the length of AB

C.

The length of A B' must be twice the length of AB.

D.

The length of A B must be two units more than the length of AB.

0

Respuesta :

xero099

We determine that the correct choice is: B. The length of [tex]A'B'[/tex] must be equal to the length of [tex]AB[/tex].

Vectorially speaking, any point is translated by means of the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

  • [tex]P(x,y)[/tex] - Original point.
  • [tex]P'(x,y)[/tex] - Translated point.
  • [tex]T(x,y)[/tex] - Translation vector.

Since the entire quadrilateral is translated the same distance, then the length of [tex]A'B'[/tex] is equal to the length of [tex]AB[/tex]. Hence, the correct choice is B.

We kindly invite to see this question on translations: https://brainly.com/question/12463306

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