G.3.9.2 How Many Pieces?

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[/img][br][br]Your task is to create a similar triangle to triangle ABC.[br][br]We've done an activity like this before when we were exploring congruent triangles. [br][br]The purpose of the activities below is to determine what is the [i]least amount[/i] of information you can use to construct a triangle that will be similar to the original triangle ABC.[br][br]Once you have moved the sliders to fit the given criteria, try and move other parts of the triangle.[br][br]After everyone has had a chance to make a triangle with the given criteria, we'll compare and calculate to see if the given information was enough to make everyone's triangles the [i]similar [/i]to triangle ABC.[br]
[u][b]Attempt #1[/b]...one angle[/u][br]For this first drawing lets make just one angle measure congruent to the original triangle ABC. [br][br][u]Draw triangle [i]DEF [/i]with the given measures[/u]:[br][color=#38761d]angle [i]DEF[/i] = 82 degrees[br][/color][br]Move the [color=#38761d]green slider so that angle [i]DEF[/i][/color][color=#38761d] is 82 degrees[/color]; then see if you can move any other parts of the triangle. Is the triangle you constructed similar to the original triangle ABC?
[u][b]Attempt #2[/b]...two angles[/u][br]For second drawing lets make two angle measures congruent to the original triangle ABC. [br][br][u]Draw triangle [i]DEF [/i]with the given measures[/u]:[br][color=#38761d]angle [i]DEF[/i] = 82 degrees[br][/color][color=#9900ff]angle [i]ACB[/i] = 38 degrees[/color][br][br]Move the [color=#38761d]green slider so that angle [i]DEF[/i][/color][color=#38761d] is 82 degrees [/color]and move the [color=#9900ff]purple slider so that angle ABC is 38 degrees[/color]; then see if you can move any other parts of the triangle. Is the triangle you constructed similar to the original triangle ABC?
Angle-Angle Triangle Similarity Theorem: In two triangles, if two pairs of corresponding angles are congruent, then the triangles must be similar. (Theorem)[br][br][img]data:image/png;base64,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[/img]

Information: G.3.9.2 How Many Pieces?