Question

Which rigid transformation(s) can map TriangleFGH onto TriangleVWX?

reflection, then rotation
reflection, then translation
rotation, then translation
rotation, then dilation

Answer 1

Rotation then translation

Explanation:

First a rotation anticlockwise about G. then a translation to the right.

Answer 2

Option C.

Explanation:

From the given graph it is clear that in triangle FGH anf triangle VWX,

`FG\cong VW`

`GH\cong WX`

`FH\cong VX`

By SSS both triangles are congruent.

After dilation the figure and its image are similar but not congruent. So, option D is incorrect.

After reflection the figure will be reflected about a side or line. Then triangle FGH will not onto triangle VWX. So, options A and B are incorrect.

If triangle FGH rotated 18 degree about the point G and after than translated to the right, then we get the triangle VWX.

It means rotation, then translation can map triangle FGH onto triangle VWX

Therefore, the correct option is C.