Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △DEF to △D′E′F′ is a_________ followed by a__________

translation 1 unit left
rotation of 180 about the origin
reflection across the x-axis
rotation of 90 counterclockwise about the origin

Drag and drop the answers into the boxes to correctly complete the statement A sequence of transformations that maps DEF to DEF is a followed by a translation 1 class=

Respuesta :

frika

1. First transformation is rotation rotation of 180 about the origin. This transformation has a rule:

(x,y)→(-x,-y).

If points E(-2,-4), F(-1,-1), D(-2,-1) are vertices of triangle EFD, then

  • E(-2,-4)→E''(2,4),
  • F(-1,-1)→F''(1,1),
  • D(-2,-1)→D''(2,1).

2. Second transformation is translation 1 unit left with a rule

(x,y)→(x-1,y).

Then

  • E''(2,4)→E'(1,4),
  • F''(1,1)→F'(0,1),
  • D''(2,1)→D'(1,1).

Answer: 1st: rotation of 180 about the origin; 2nd: translation 1 unit left.