Question

mickey draws two distinct intersecting lines, p and q. which three conclusions must be true?
a. lines p and q are not parallel.
b. lines p and q form four angles.
c. lines p and q are perpendicular.
d. lines p and q share a common point.
e. lines p and q form at least one right angle.

Explanation:

• Option A: By definition, parallel lines never intersect, so intersecting lines cannot be parallel. This must be true.
• Option B: Two intersecting lines cross at one point, creating four distinct angles around that intersection. This must be true.
• Option C: Perpendicular lines are a specific type of intersecting lines that form right angles, but not all intersecting lines are perpendicular. This is not necessarily true.
• Option D: The definition of intersecting lines is that they share exactly one common point. This must be true.
• Option E: Only perpendicular intersecting lines form right angles; most intersecting lines do not. This is not necessarily true.

Answer:

A. Lines p and q are not parallel.
B. Lines p and q form four angles.
D. Lines p and q share a common point.