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

Segment is parallel to segment . What is the length of segment ?

What is the length of segment ?

Explain how you know that segment is not parallel to segment .

In right triangle , and . A new triangle  is formed by connecting the midpoints of  and . What is the area of triangle ?

What is the area of triangle ?

Does the scale factor for the side lengths apply to the area as well?

Which of these statements is true?

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Are triangles  and  similar in the applet below? Show or explain your reasoning. 

If possible, find the length of . If not, explain why the length of  cannot be determined. 

What is the length of segment in the applet below?

The triangle is taken to triangle by a dilation. Select all of the scale factors for the dilation that would result in an image that was smaller than the original figure.

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  • E
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