Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J.

Question

Triangle DEF is congruent to TriangleGHJ by the SSS theorem. Which rigid transformation is required to map TriangleDEF onto TriangleGHJ?

dilation
reflection
rotation
translation

Answer 1

Since Triangle D E F is shifted down and to the right to form Triangle G H J, the required rigid transformation to map Triangle DEF onto Triangle GHJ is a translation. This type of transformation moves every point of a shape in a specified direction and by the same distance, preserving the shape and size.