Question

Which conditional statement has a false converse?


 



If two planes are parallel, then they have no points in common.



If a point has x-coordinate 0, then it lies on the y-axis.



If two angles are congruent, then they have the same measure.



If a figure is a square, then it has four sides.

Answer 1

Consider the converses:

a) If two planes have no points in common, then they are parallel. (true)

b) If a point lies on the y-axis, then it has x-coordinate 0. (true)

c) If two angles have the same measure, then they are congruent. (true)

d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)