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Question 12(Multiple Choice Worth 1 points)

(02.01 HC)

Triangle JOY is translated using the rule (x, y) → (x + 3, y − 2) to create triangle J′O′Y′. If a line segment is drawn from point J to point J′ and from point O to point O′, which statement would best describe the line segments drawn in relation to one another?

They share the same midpoints.
They create diameters of concentric circles.
They are parallel and congruent.
They are perpendicular to each other.

Respuesta :

Ashraf82

The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent " ⇒ 3rd answer

Step-by-step explanation:

In a translation,

  • Every point of the object must be moved in the same direction.
  • Every point of the object must be moved for the same distance.
  • The lines drawn from each point to its image are parallel and congruent.

The rules of translation:

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ Δ JOY is translated using the rule (x, y) → (x + 3, y - 2)

∵ Δ J'O'Y' is its image after translation

- That means each point move 3 units to right and 2 units town

∵ Line segment JJ' joins the vertex J by its image J'

∵ Line segment OO' joins the vertex O by its image O'

- The lines drawn from each point to its image are parallel

   and congruent

∴ JJ' // OO'

∴ JJ' ≅ OO'

The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent "

Learn more:

You can learn more about translation in brainly.com/question/2451812

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