A if you are given a triangle with side lengths of 4cm 6cm a

A) if you are given a triangle with side lengths of 4cm, 6cm and 9cm, are all triangles with these same lengths congruent to the triangle given? why?

B) if you are given a triangle with side-angle-side measures of 4cm, 30 degrees and 4cm respectively. are all triangles with these same measurements congruent to the triangle you were given? why?

C) you are given a triangle with angle measures of 25,50 and 105 degrees. are all triangles with these same degree measures congruent to the triangle you were given? why?

Solution

A) Yes.

This is by the nature of SSS rule. i.e. Side Side Side rule of conguency.

When all sides are equal then the 2 triangles are congruent to each other.