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Math

Math Snap

PROBLEM

False. Perpendicular lines intersect at one point.

STEP 1

Assumptions1. The lines are in a two-dimensional plane.
. Perpendicular lines are defined as two lines that intersect at a right angle (90 degrees).

STEP 2

By definition, two lines in a two-dimensional plane intersect at a single point, if they intersect at all.

STEP 3

Therefore, perpendicular lines, being a subset of all lines, also intersect at a single point.

SOLUTION

So, the statement "Perpendicular lines intersect in two points" is false.
The correct statement would be "Perpendicular lines intersect in one point".

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