Exploring Triangle Congruency Activity

[b][u]Directions: [br][/u][/b][size=100]For each triangle type, complete the following steps:[br][list=1][*][b]Describe what is congruent.[/b] Identify exactly which corresponding sides and/or angles are given as congruent. Be specific.[br][/*][*][b]Experiment with the triangles.[/b] Move the red dots to create different triangles. Try changing the shape of the original triangle, too.[br][/*][*][b]Determine whether the information guarantees congruence.[/b] Can you create a triangle that is NOT congruent to the original triangle using the same given information?[br][/*][*][b]Record your results.[/b] Use the color of the triangle to help you:[br][list][*][b][color=#6aa84f]Green: The triangles are congruent.[/color][/b][br][/*][*][color=#e69138][b]Orange: The triangles are not congruent.[/b][/color][br][/*][/list][/*][*][b]Write a conclusion.[/b] Decide whether the given information is enough to guarantee that the two triangles will always be congruent. Explain your reasoning.[br][/*][/list][b]Important:[/b][u][color=#ff0000] One successful attempt is not enough![/color][/u] Try several different triangle shapes before deciding. You are looking for whether the given information [i]always[/i] guarantees congruence, not whether you can make the triangles congruent at least once.[/size]
Exploring SSS
Exploring AA (AAA)
Exploring SAS
Exploring ASA
Exploring SSA
Exploring AAS
Exploring HL (RHS)

Information: Exploring Triangle Congruency Activity