Question

Melanie drew a line l and a point P that was not on l . Which of these is an impossible value for the number of line segments that begin at point P, end on line l , and have length 2 units?

A) zero
B) exactly one
C) exactly two
D) infinitely many

Answer 1

I think it is
C.) exactly two

Answer 2

D

Explanation:

There are 3 cases:

• there is only 1 segment between P and I that have a length of 2 (that segment is perpendicular to line I)

• there are only 2 segments between P and I that have a length of 2 (in this case, P is nearer than before)

• P is further than the first case, so that, any segment is longer than 2.

The impossible case is that there are infinite segments of length 2