How many pairs of perpendicular lines are shown in the diagram below?
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How many pairs of perpendicular lines are shown in the diagram below?
Let's remember that perpendicular lines are lines that intersect at a right angle of 90 degrees.
Our right angles are:
The lines that form angle ABC are: AB+BC
The lines that form angle BCD are: BC+CD
The lines that form angle CDE are: CD+DE
The lines that form angle DEF are: DE+EF
The lines that form angle EFA are: EF+FA
The lines that form angle FAB are: FA+AB
Since in the drawing we have 6 angles of 90 degrees marked, we must have 6 pairs of perpendicular lines.
6
What do the four figures below have in common?
Look for the small square symbols at intersections! These markers specifically indicate 90-degree angles, which means the lines are perpendicular.
No! Perpendicular lines must intersect (cross each other) to form a right angle. If lines don't meet in the diagram, they cannot be perpendicular.
Don't assume! Only count pairs where you see the right angle marker (small square). Lines might look perpendicular but aren't exactly 90 degrees without the marker.
Yes! Each right angle is formed by exactly one pair of perpendicular lines. So 6 right angles = 6 pairs of perpendicular lines, not 12.
For each right angle marker, identify the two line segments that meet at that point. For example: angle ABC is formed by lines AB and BC intersecting.
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