From the given statements, let's determine the statements for which the converse is always true.
The converse of a conditional statement can be said to be the contrapositive of the statement.
For example:
Given the conditional ststement: If p, then q
Converse of the statement is: If q, then p
It can be said to be flipping the conditional statement.
Thus, we have the converse which are always true:
B. Statement: In an isosceles triangle, the base angles are congruent.
Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.
C. Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment.
Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment
E. Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles
Convers: If 2 lines intersect to form 4 right angles, then they are perpendicular.
From the choices given, the converse which are always true are:
B, C, and E
The converse of option A is not correct because not all supplementary angles are together.
The converse of option D is not always true because not all congruent angles are vertical angles.
ANSWER:
B, C, and E
