IM Geometry Unit 3 Lesson 11
Does a line parallel to one side of a triangle always create similar triangles?[br][list=1][*]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.[br]Label it on the diagram.[br][/*][/list]
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:[br][math]\overline{AB}\parallel\overline{EF}[/math][br][math]\overline{AD}\perp\overline{DB}[/math]Find the length of each unlabeled side:[br][br][math]\overline{BF}[/math][br][math]\overline{AE}[/math][br][math]\overline{EF}[/math]
In the image below these things are true:[br][math]\overline{BD}\parallel\overline{FG}[/math][br][math]m\overline{EG}=12units[/math][br][math]m\text{\overline EB}=2.5units[/math][br][br]Find the length of each unlabeled side:[br][br][math]\overline{BF}[/math][br][math]DG[/math][br][math]\overline{ED}[/math]
IM G Unit 3 Lesson 11 from IM Geometry by Illustrative Mathematics, [url=https://im.kendallhunt.com/HS/students/2/3/1/index.html]https://im.kendallhunt.com/HS/students/2/3/11/index.html[/url]. Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url].