Question

Which rigid transformation(s) can map MNP onto TSR?

Answer 1

The correct answer is:

C.translation, then reflection

Explanation:

MN corresponds with ST.  It is on the opposite side of the triangle.  NP corresponds with SR, and is on the opposite side of the triangle.  The same is true of the third set of corresponding sides, MP and RT.

A reflection alone with orient the triangles the correct way, but they will still not be in precisely the same position.  The triangle must be shifted down, which is a translation.

Answer 2

Translation means moving the figure horizontally or vertically.

Reflection means flipping across a vertical or a horizontal line.

In the figure we see that we can vertically shift the point P to R down by some units.

Then we see that if we reflect that triangle NMP across the line which joins P & R we get the triangle STR.

So to have triangle MNP map onto to TSR we need to translate & then reflect.

Option C) is the right answer.