Question

Segment CD intersects segment AB. Which property justifies the statement?

1) Transitive property
2) Subtraction property
3) Definition of supplementary angles
4) Intersecting lines postulate
5) Same-side interior angles theorem
6) Vertical angles theorem

Answer 1

The Intersecting Lines Postulate is the property that justifies the statement of segment CD intersecting segment AB, as it states two lines intersect at exactly one point.

Step-by-step explanation:

The question asked is related to the property that justifies the statement that segment CD intersects segment AB. In geometry, when two segments intersect, they share a common point. To validate the occurrence of an intersection, it's important to find the appropriate geometric property or postulate that supports it. From the list provided, option 4, Intersecting Lines Postulate, is the most relevant. This postulate states that if two lines intersect, they intersect in exactly one point. So when segments CD and AB intersect, they do so at a point which both segments share. Therefore, it justifies the statement that segment CD intersects segment AB.