IM Geometry Unit 3 Lesson 11

Does a line parallel to one side of a triangle always create similar triangles?

Create several examples. Decide if the conjecture is true or false. If it’s false, make a more specific true conjecture.
Find any additional information you can be sure is true. Label it on the diagram.

Here is an example of a line parallel to one side of a triangle to help you make your own in the app above.

In the image below these things are true: Find the length of each unlabeled side:

In the image below these things are true: Find the length of each unlabeled side:

IM G Unit 3 Lesson 11 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/3/11/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.

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