Question

Mrs smith wrote the following statement on the board “ a ray can be a part of a line” a Group of students were discussing the meaning of the statement they were arguing back-and-forth about whether the converse (a line could be any part of a ray). Of this statement is also true. Billy, the group leader, determined that the converse is not true. Is Billy correct or not justify your answer

Answer 1

Billy is correct.

Explanation:

We have that,

The converse of the given line is 'A line could be a part of a ray'.

Since, it is known that,

1. Ray - is a line segment having one end-point and other side extending infinitely.

2. Line - is a line segment having two end-points.

So, we see from the figure below that,

The ray AB has a line AC included in it.

Thus, a line can be a part of ray as we can select any point on the side extending to infinity to form a line.

Hence, Billy is correct i.e. 'A line could be a part of a ray' is true.