AA Similarity Theorem

[color=#000000]The [/color][b][color=#0000ff]AA Similarity Theorem[/color][/b][color=#000000] states:[/color][br][br][i][color=#0000ff]If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.  [/color][/i][br][br][color=#980000]Below is a visual that was designed to help you prove this theorem true in the case where both triangles have the same orientation.  (If the triangles had opposite orientations, you would have to first [b]reflect[/b] the white triangle [b]about any one of its sides[/b] first, and then proceed along with the steps taken in the applet.)  [/color][br][br][color=#000000]Feel free to move the locations of the [/color][color=#38761d][b]BIG GREN VERTICES[/b][/color][color=#000000] of either triangle before slowly dragging the slider. [/color][b] [/b][i][color=#ff0000]Pay careful attention to what happens as you do.[/color][/i]
Quick (Silent) Demo

Proving Triangles Similar (2)

Students:[br][br]This task follows from the [url=https://www.geogebra.org/m/EYkbfmmU]Proving Triangles Similar (1) task[/url]. [br][br]
Prove that [math]\Delta ABC[/math] is SIMILAR to [math]\Delta DEF[/math] by using any one or more of the transformational geometry tools in the limited tool bar.

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