[img]data:image/png;base64,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[/img]

[math]\triangle ABC\cong\triangle 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[/img][br]Find a sequence of rigid motions that takes triangle [math]ABC[/math] to triangle[math]DEF[/math].

What is the image of segment [math]BC[/math] after that transformation?[br]

Explain how you know those segments are congruent.

Justify that angle[math]ABC[/math] is congruent to angle [math]DEF[/math]. You can use the applet below.[br]

What type of quadrilateral have you formed? 

What is the definition of that quadrilateral type?[br]

Why must the quadrilateral you have fit the definition?[br]