Write a sequence of rigid motions to take figure [math]ABC[/math] to figure [math]DEF[/math].
Prove the circle centered at [math]A[/math] is congruent to the circle centered at [math]C[/math].
Write a congruence statement for the 2 congruent triangles.[br][br]
[size=150]So, Lin knows that there is a sequence of rigid motions that takes [math]ABC[/math] to [math]EDF[/math]. [/size][br][img]data:image/png;base64,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[/img][br][br]Select [b]all[/b] true statements after the transformations:
Is quadrilateral [math]JKLO[/math] congruent to the other 2 quadrilaterals? Explain how you know.