Verify experimentally the different criteria for congruency of triangles using different
triangular cut out shapes.
Answers
Answer:
To verify experimentally that, if any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.
Answer:
Criterion for Congruency of Two Triangles
There are four different criteria for the two triangles to be congruent.
SSS (Side-Side-Side) criterion If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
SAS (Side-Angle-Side) criterion Two triangles are congruent, if two sides and the included angle of a triangle are equal to the two sides and the included angle of the other triangle.
ASA (Angle-Side-Angle) criterion Two triangles are congruent, if two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle.
RHS (Right angle-Hypontenuse-Side) criterion If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.