Question

I really need help.

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

Answer 1

congruent

not congruent

congruent

not congruent

congruent

not congruent

Answer 2

First, rigid motions are transformation preserving the length of the shape.

To find the congruent quadrilaterals, we just have to see how many squares measures their sides and diagonals.

We observe that quadrilateral 1, 2 and 4 have the same side lengths, and their diagonals are placed across three squares. So, these three quadrilaterals are congruent, and the #3 is not congruent with any other.

Therefore, those congruent are:

#1 with #2

#1 with #4

#2 with #4

Those not congruent are:

#1 with #3

#2 with #3

#4 with #3