Question 1 of 10 If JK ⟂ LM, which statement is true? A. JK and LM meet at a straight angle. B. JK and LM are coplanar and do not intersect. C. JK and LM meet at a right angle. D. JK and LM are not in the same plane.

Question 1 of 10 If JK ⟂ LM, which statement is true? A. JK and LM meet at a straight angle. B. JK and LM are coplanar and do not intersect. C. JK and LM meet at a right angle. D. JK and LM are not in the same plane.

Answer: C. JK and LM meet at a right angle.

Explanation:
Subject: Geometry — lines and angles. Key concepts: definition of perpendicular lines, right angle, intersection, coplanar. By definition, if two lines are perpendicular (JK ⟂ LM), they intersect and form right angles (90°). That directly makes option C true. Option A (straight angle = 180°) is false, option B (do not intersect) contradicts perpendicularity, and option D (not in the same plane) is false because perpendicular lines must intersect and therefore lie in the same plane.

Steps:

  1. Definition: Two lines are perpendicular if they intersect to form a 90° angle.
  2. From JK ⟂ LM we conclude JK and LM intersect.
  3. From perpendicularity we conclude the angle at their intersection is a right angle (90°).
  4. Evaluate choices: A (straight angle) is incorrect (straight = 180°), B (coplanar and do not intersect) contradicts intersection, D (not same plane) contradicts intersection; only C matches the definition.