Question

is quadrilateral ABCD congruent to quadrilateral KLMN? Drag the words to explain your answer. Words may be used once, more than once, or not at all.

Answer 1

Quadrilateral ABCD is not congruent to quadrilateral KLMN. Quadrilateral ABCD cannot be mapped onto quadrilateral KLMN through a series of rotations, reflections or translations.

Explanation:

For the two quadrilaterals to be congruent they must be the same size. By comparing the length of AD in quadrilateral ABCD, and KN in quadrilateral KLMN, you will get 4 units and 6 units respectively. That suggests that it is impossible to map line AD onto line KN (and vice versa) through any rotation, reflection or translation.

The same approach applies if you try to map line BC onto line LM. They would not be the same length (or size), and therefore the quadrilaterals are not congruent.

Answer 2

Explanation:

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