Which transformation is [i]not[/i] a rigid transformation?
The school district wants to locate its new stadium at a location that will be roughly the same distance from all 3 schools. Where should they build the stadium? Explain or show your reasoning.
[size=150]To construct a line passing through point [math]C[/math] that is parallel to the line [math]AB[/math], Han constructed the perpendicular bisector of [math]AB[/math] and then drew line [math]CD[/math].[/size][br][img]data:image/png;base64,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[/img][br]Is [math]CD[/math] guaranteed to be parallel to [math]AB[/math]? Explain how you know.
[size=150]This diagram is a straightedge and compass construction of a line perpendicular to line [math]AB[/math] passing through point [math]C[/math]. 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[/img][br]Select [b]all[/b] the statements that must be true.