Answer:- 1. Congruent .
2. Not Congruent .
3. Not Congruent .
4. Not Congruent .
Explanation:-
A basic rigid transformation is a transformation of the figure that does not affect the size of the figure . The size of figure doesn't reduce or get enlarge. There are three basic rigid transformations:-reflections, rotations, and translations.
1. Reflection:- A reflection is a transformation that maps every point of a figure in the plane to point of image of figure, across a line of reflection .
2.Rotation:-A rotation of some degrees is a transformation which rotate a figure about a fixed point called the center of rotation.
3.Translation:-A translation is a transformation of a figure that moves every point of the figure a fixed distance in a particular direction.
Now,
1. Quadrilateral 1 and quadrilateral 2 are congruent by reflection.
2. Quadrilateral 3 and quadrilateral 4 are not congruent by using any rigid transformation.
3.Quadrilateral 1 and quadrilateral 4 are not congruent by using any rigid transformation.(as 4 is not a reflected image of 1)
4.Quadrilateral 2 and quadrilateral 3 are not congruent by using any rigid transformation.
