Here’s a triangle [math]ABC[/math] with midpoints [math]L[/math], [math]M[/math], and [math]N[/math].[br][br][img]data:image/png;base64,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[/img][br][br]What do you notice? What do you wonder?
Here’s a triangle [math]ABC[/math]. Points [math]M[/math] and [math]N[/math] are the midpoints of 2 sides.[br][img]data:image/png;base64,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[/img][br][br]Convince yourself triangle [math]ABC[/math] is a dilation of triangle [math]AMN[/math]. What is the center of the dilation? What is the scale factor?
Convince your partner that triangle [math]ABC[/math] is a dilation of triangle [math]AMN[/math], with the center and scale factor you found.[br]
With your partner, check the definition of dilation on your reference chart and make sure both of you could convince a skeptic that [math]ABC[/math] definitely fits the definition of dilation.[br]
Convince your partner that segment [math]BC[/math] is twice as long as segment [math]MN[/math].[br]
Prove that [math]BC=2MN[/math]. Convince a skeptic.[br]
[size=150]Here’s a triangle [math]ABC[/math]. [math]M[/math] is [math]\frac{2}{3}[/math] of the way from [math]A[/math] to [math]B[/math]. [math]N[/math] is [math]\frac{2}{3}[/math] of the way from [math]A[/math] to [math]C[/math].[/size][br][img]data:image/png;base64,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[/img][br]What can you say about segment [math]MN[/math], compared to segment [math]BC[/math]? Provide a reason for each of your conjectures.
How does [math]DF[/math] compare to [math]D'F'[/math]?[br]
Are [math]E[/math], [math]F[/math], and [math]E'[/math] collinear? Explain or show your reasoning.[br]