How do you know you have sketched all possibilities?
What is the least amount of information that you need to construct a triangle congruent to this one?
[size=150]So, Mai knows that there is a sequence of rigid motions that takes [math]ABC[/math] to [math]EFD[/math].[/size][br][img]data:image/png;base64,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[/img] [br]Select [b]all[/b] true statements after the transformations:
Explain why the image of segment [math]CB[/math] lines up with segment [math]CD[/math].[br]
Explain why the image of [math]B[/math] coincides with [math]D[/math].[br]
Is triangle [math]ABC[/math] congruent to triangle [math]EDC[/math]? Explain your reasoning.[br]
Clare says that [math]ABEF[/math] is congruent to [math]CDEF[/math] because sides [math]AB[/math] and [math]CD[/math] are corresponding.[br][img]data:image/png;base64,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[/img][br]Why is Clare's congruence statement incorrect?[br]
Write a correct congruence statement for the quadrilaterals.[br]
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[/img][br]Select [b]all[/b] statements that must be true.
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Describe a rigid motion that will take the figure onto itself.