Question

Using the Law of Syllogism, draw a conclusion from the two given statements.

A) If two lines are parallel, then they do not intersect. If they do not intersect, then corresponding points are the same distance apart.
B) If two lines are parallel, then corresponding points are the same distance apart.
C) If two lines do not intersect, then they are parallel.
D) If two lines intersect, then corresponding points are not the same distance apart.

Answer 1

The Law of Syllogism allows us to draw conclusions from two given statements. In this case, if two lines are parallel, then corresponding points are the same distance apart.

Step-by-step explanation:

The Law of Syllogism, also known as the transitive property, allows us to draw conclusions from two given statements. In this case, we have the following statements:

1. If two lines are parallel, then they do not intersect.
2. If they do not intersect, then corresponding points are the same distance apart.

By applying the Law of Syllogism, we can conclude that if two lines are parallel, then corresponding points are the same distance apart.