IM Geometry Unit 3 Lesson 5
Here’s a triangle [i]ABC[/i] withmidpoints [i]L[/i], [i]M,[/i] and [i]N[/i].
What do you notice?[br][br]What do you wonder?
Here’s a triangle [i]ABC[/i]. Points [i]M[/i] and [i]N[/i] are the midpoints of 2 sides.
[list=1][*]Convince yourself triangle [i]ABC[/i] is a dilation of triangle [i]AMN[/i]. What is the center of the dilation? What is the scale factor?[/*][/list]
Prove that [i]BC = [/i]2MN.
Here is [math]\triangle ABC[/math]. [i]M[/i] is[math]\frac{2}{3}[/math] of the way from [i]A [/i]to [i]B[/i]. [i]N[/i] is [math]\frac{2}{3}[/math] of the way from [i]A [/i]to [i]C.[/i]
What can you say about segment [i]MN[/i], compared to segment [i]BC[/i]? Provide a reason for each of your conjectures.
IM G Unit 3 Lesson 5 from IM Geometry by Illustrative Mathematics, [url=https://im.kendallhunt.com/HS/students/2/3/1/index.html]https://im.kendallhunt.com/HS/students/2/3/5/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].