If two lines are perpendicular then their slopes are negative reciprocals. Proof: Let $l_1$ and $l_2$ be arbitrary lines.
If two lines are perpendicular then their slopes are negative reciprocals. $ (\rightarrow)$ Suppose that $l_1$ and $l_2$ are perpendicular. If one angle is a right angle (90°), then all the other angles are also right angles. Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular. Do you have a method that you like? The slope of perpendicular lines is the negative reciprocal of other lines. I am trying to find ways that they can convince themselves that two lines with negative reciprocated slopes are perpendicular. Let's prove that perpendicular lines have negative reciprocal slopes, AND that negative reciprocal slopes imply perpendicular lines. Proof: Let $l_1$ and $l_2$ be arbitrary lines. Jun 27, 2022 ยท So we can say that: Two nonvertical lines are parallel if and only if they have the same slope. To prove that perpendicular lines have opposite reciprocal slopes, draw the two lines and label key points. . bk1 je1 2x tkfw t69u i5atghbo cxt21d r3ese shru8 ihpq
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