Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

the coordinates of begin mathsize 16px style increment end stylejrb are j(1, -2) , r(-3, 6) and b(4, 5). what are the coordinates of the vertices of its image after the transformation translation along (2, 1) and a reflection over y = x?

Sagot :

Answer:

  • J'' = (-1, 3)
  • R'' = (7, -1)
  • B'' = (6, 6)

Step-by-step explanation:

You want the coordinates of points J(1, -2), R(-3, 6), B(4, 5) after translation by (2, 1) and reflection over y = x.

Translation

Translation adds the translation vector each point. Translation by (2, 1) is the transformation ...

  (x, y) ⇒ (x +2, y +1)

Reflection

Reflection over the line y = x causes the coordinates of a point to be swapped:

  (x, y) ⇒ (y, x)

Composition

The composition of the two transformations, translation by (2, 1) and reflection over y=x, results in the transformation ...

  (x, y) ⇒ (y +1, x +2)

That moves the given points to ...

  J(1, -2) ⇒ J''(-1, 3)

  R(-3, 6) ⇒ R''(7, -1)

  B(4, 5) ⇒ B''(6, 6)

__

Additional comment

The attachment shows the translated ∆JRB and the same triangle after reflection over the diagonal line y = x. The final position is in red.

View image sqdancefan