Determine whether there are 4 pairs of perpendicular lines in the figure below?
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Determine whether there are 4 pairs of perpendicular lines in the figure below?
Remember that perpendicular lines are lines that intersect at a 90-degree angle.
Let's mark the right angles in the drawing:
We can see that we have 4 pairs of perpendicular lines:
AE is perpendicular to AB
BF is perpendicular to AB
AE is perpendicular to EC
BF is perpendicular to FD
Yes
What do the four figures below have in common?
Look for the small square symbol at the intersection point! This symbol specifically marks 90-degree angles. If there's no square symbol, the lines aren't perpendicular even if they cross.
No! Each pair of perpendicular lines should be counted only once. For example, if line AB is perpendicular to line CD, that's just one pair, not two.
In geometry problems, never assume lines are perpendicular just because they look like it! Always rely on the right angle symbols or given information, not just visual appearance.
In 2D geometry, only two lines can be perpendicular to each other at any single point. However, multiple pairs of perpendicular lines can exist in the same figure.
Go through each intersection point one by one. Look for right angle symbols, then identify which two specific lines form that 90-degree angle. List each unique pair only once.
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