IM Geo.3.11 Practice: Splitting Triangle Sides with Dilation, Part 2

[size=150]Segment [math]A'B'[/math] is parallel to segment [math]AB[/math].[/size][br][img]data:image/png;base64,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[/img][br]What is the length of segment [math]AB[/math]?[br]
What is the length of segment [math]B'B[/math]?[br]
Explain how you know that segment [math]DE[/math] is not parallel to segment [math]BC[/math].[br][img]data:image/png;base64,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[/img]
[size=150]In right triangle [math]ABC[/math], [math]AC=4[/math] and [math]BC=5[/math]. A new triangle [math]DEC[/math] is formed by connecting the midpoints of [math]AC[/math] and [math]BC[/math].[/size][br][img]data:image/png;base64,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[/img][br]What is the area of triangle [math]ABC[/math]?
What is the area of triangle [math]DEC[/math]?[br]
Does the scale factor for the side lengths apply to the area as well?[br]
Which of these statements is true?
Are triangles [math]ABC[/math] and [math]DEF[/math] similar in the applet below? Show or explain your reasoning. [br]
If possible, find the length of [math]EF[/math]. If not, explain why the length of [math]EF[/math] cannot be determined. [br]
What is the length of segment [math]DF[/math] in the applet below?
The triangle [math]ABC[/math] is taken to triangle [math]A'B'C'[/math] by a dilation. Select [b]all [/b]of the scale factors for the dilation that would result in an image that was [i]smaller[/i] than the original figure.
Cerrar

Información: IM Geo.3.11 Practice: Splitting Triangle Sides with Dilation, Part 2