Question

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

	congruent	not congruent
quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3

(there is a coordinate grid with four quadrilaterals labeled 1, 2, 3, 4)

Explanation:

Step1: Check quadrilateral 1 and 2

Rigid motions (translation/rotation/reflection) can map 1 to 2? No, shapes differ.

Step2: Check quadrilateral 1 and 4

Rigid motions can map 1 to 4? No, shapes differ.

Step3: Check quadrilateral 2 and 3

Rigid motions can map 2 to 3? No, shapes differ.

Answer:

quadrilateral 1 and quadrilateral 2: Not congruent
quadrilateral 1 and quadrilateral 4: Not congruent
quadrilateral 2 and quadrilateral 3: Not congruent