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Two lines are perpendicular when they meet at a right angle (90°). To find a perpendicular slope: When one line has a slope of m, a perpendicular line has a slope of −1 m. In other words the negative reciprocal.
- Slope
- −0.5
In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90 ∘). The term ‘perpendicular’ originated from the Latin word ‘perpendicularis,’ meaning a plumb line. If two lines AB and CD are perpendicular, then we can write them as AB ⊥ CD.
What is a Perpendicular Line? The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees (right angle). Consider the above-given figure, the line PQ and RS forms a right angle when the lines intersect at a point.
We will learn how to find the condition of perpendicularity of two lines. If two lines AB and CD of slopes m1 and m2 are perpendicular, then the angle between the lines θ is of 90°.
Two lines are perpendicular or orthogonal if they meet at right angles. For two perpendicular lines, all four angles formed by the two lines are equal to \( 90 ^ \circ\). Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.
When two lines are perpendicular, we express them using a perpendicular sign \(\mathbf{\perp}\). For example, if line \(\overline{AB}\) is perpendicular to line \(\overline{CD}\), we express it as \( \mathbf{ \overline{AB} \perp \overline{CD}}\).
Oct 10, 2023 · Perpendicular lines are two straight lines that meet or intersect at 90°. The opposite of perpendicular lines are parallel lines. Unlike perpendicular lines, parallel lines never intersect. The equation of a line that is perpendicular is y = mx + c.