[list][*]Are there any shortcuts of proving triangles congruent?[/*][*] What corresponding triangle parts need to be congruent in order to show that two triangles are congruent? [br] These applets will allow you to explore whether triangle relationships (SSS, AAA, SAS, HL, SSA, ASA, AAS) force triangles to be congruent or not.[/*][/list]
[i]If three sides of one triangle are congruent to three sides of second triangle, are the triangles congruent?[/i]
Use the exploration from the above applet to write if the triangles are congruent in SSS case.
[i]If three angles of one triangle are congruent to three angles of another triangles, then are the triangles congruent?[/i]
Use the exploration from the above applet to write if the triangles are congruent in AAA case. If they are not congruent, then in what case will they be congruent?
[i] If two sides and included angle of one triangle are congruent to two sides and included angle of other triangle, then are the triangles congruent?[/i]
Use the exploration from the above applet to write if the triangles are congruent in SAS case.
[i]If two sides and non included angle of one triangle are congruent to two sides and a non included angle of another triangle, are the triangles congruent?[/i]
Use the exploration from the above applet to write if the triangles are congruent in SSA case.
[i]If two angles and included side of one triangle are congruent to two angles and included side of another triangle, then are the triangles congruent?[/i]
Use the exploration from the above applet to write if the triangles are congruent in ASA case.