Given Side-Side-Angle

[b]Thus far, we've learned several theorems that allow us to conclude 2 triangles are congruent. [br][br]Here's the list of discoveries we've made thus far: [br][/b][br][url=https://www.geogebra.org/m/bM5FkyFK]SAS Theorem[/url][br][url=https://www.geogebra.org/m/Qsk3vDs6]SSS Theorem[/url][br][url=https://www.geogebra.org/m/WKJJ2uPa]ASA Theorem[/url][br][url=https://www.geogebra.org/m/tfh3jdr8#material/nbn8g38p]AAS Theorem[/url][br][url=https://www.geogebra.org/m/tfh3jdr8#material/whgkfer6]HL Theorem[/url][br][br][b][color=#0000ff]BUT what about, "What about SSA?" [br][br][/color][color=#0000ff]That is, if 2 sides and a non-included-angle of one triangle are congruent to 2 sides and a non-included-angle of another triangle, are the triangles themselves congruent? [br][br][/color]Interact with BOTH applets for a few minutes and see if you can answer this question for yourself. [/b][i][color=#9900ff]As you do, feel free to move the WHITE POINTS anywhere you'd like! [br]Feel free to adjust the "a" and "b" sliders as well. [br][/color][/i]
SSA? (Applet 1)
SSA? (Applet 2)
[i]So....[/i][br][br]If two sides and a non-included angle are congruent to two sides and a non-included angle of another triangle, then those 2 triangles are congruent? Fully explain why or why not.
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