Which pairs of quadrilaterals can be shown to be congruent using rigid motions? select congruent or not congruent for each pair of quadrilaterals.

quadrilateral 1 and quadrilateral 2

quadrilateral 1 and quadrilateral 3

quadrilateral 1 and quadrilateral 4

quadrilateral 2 and quadrilateral 3

quadrilateral 2 and quadrilateral 4

quadrilateral 3 and quadrilateral 4

quadrilateral 1 and quadrilateral 2 : not congruent

 quadrilateral 1 and quadrilateral 3 : not congruent

 quadrilateral 1 and quadrilateral 4 : not congruent

 quadrilateral 2 and quadrilateral 3 : yes congruent

 quadrilateral 2 and quadrilateral 4 : yes congruent

quadrilateral 3 and quadrilateral 4 : yes congruent

Step-by-step explanation:

quadrilateral 1 and quadrilateral 2 : not congruent, the two are not of the same sizes and shape.

 quadrilateral 1 and quadrilateral 3 : not congruent because the two are not of the same sizes and shape.

 quadrilateral 1 and quadrilateral 4 : not congruent because the two are not of the same sizes and shape.

 quadrilateral 2 and quadrilateral 3 : yes congruent, because quadrilateral 2 can be 3 by rotation (90 degree) and  reflection.

 quadrilateral 2 and quadrilateral 4 : yes congruent rotation(180 degree) and  reflection

quadrilateral 3 and quadrilateral 4 : yes congruent rotation (270 degree) and translation