Perpendicular lines are lines that meet at 90 degrees. The true statements about lines m and n are:
- Lines m and n form four right angles.
- Lines m and n intersect at a single point
Given
Line 1 & Line 2
To determine the condition that proves their perpendicularity, we start by analyzing the options
(a) All four angles are right-angled
This condition is true because perpendicular lines meet at right-angled i.e. all angles at the point of intersection are right angles.
(b) One point of intersection
This condition is also true because two lines can only intersect at one point or no point.
(c) m and n are equidistant
This condition is false because lines that are equidistant have no points of intersection (i.e. the lines are parallel).
(d) Angles formed are acute and obtuse
As stated in (a), all 4 angles are right-angled. This means that option (4) is false.
Hence, (a) and (b) are true
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