Question

1. if two lines are perpendicular to the same line then the lines are

a. parallel
b. perpendicula
c. skew
d

Explanation:

The question is about the relationship between two lines that are both perpendicular to the same line. In Euclidean geometry (a subfield of Mathematics, specifically Geometry), if two lines are perpendicular to the same line, they are parallel to each other (assuming they are in the same plane; if not, they could be skew, but the context here likely assumes a plane as it's a basic geometry question). So we analyze the options:

• Option A: "parallel" is correct as per the geometric principle.
• Option B: "perpendicular" would be incorrect because two lines perpendicular to the same line aren't perpendicular to each other (in a plane).
• Option C: "skew" applies to non - coplanar lines, but the question's context (basic line relationships) likely assumes coplanar, so skew is not the answer.
• Option D: (assuming there was a D option, but from the analysis, A is correct).

Answer:

A. parallel