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 2quadrilateral 1 and quadrilateral 3quadrilateral 1 and quadrilateral 4quadrilateral 2 and quadrilateral 3quadrilateral 2 and quadrilateral 4quadrilateral 3 and quadrilateral 4
Accepted Solution
A:
Answer: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 reflectionquadrilateral 3 and quadrilateral 4 : yes congruent rotation (270 degree) and translation