GEOMETRY

1. triangle ABC is a triangle with no equal sides. A new triangle congruent to triangle ABC is to be placed on the plane such that the new triangle shares exactly two vertices with triangle ABC. At how many different locations can the new triangle be placed?

2. A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?

A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T
C) T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T