How many pairs of perpendicular lines are there in the diagram?
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How many pairs of perpendicular lines are there in the diagram?
Let's remember that perpendicular lines form a right angle of 90 degrees between them.
The right angles we have in the drawing are:
The lines that create the angle FAB are: FA + AB
The lines that create the angle CDE are: CD + DE
Since we have 2 angles marked in the diagram, we therefore also have 2 pairs of perpendicular lines.
2
Determine which lines are parallel to one another?
Look for the small square symbols in the corners! These markers specifically show where two lines meet at exactly 90 degrees. In this diagram, you can see squares at angles and .
Great observation! Only corners with the square marker symbol are confirmed to be 90-degree angles. Other corners might look square but aren't marked as right angles, so we can't assume they're perpendicular.
For counting perpendicular pairs, it doesn't matter! Whether we call them lines or line segments, we're looking for two straight paths that meet at exactly 90 degrees, marked by the square symbols.
No! Count the right angle markers carefully - there are exactly 2 square symbols in this diagram. Each square represents one pair of perpendicular lines, so the answer is definitely 2.
Use the three points that form each right angle. For angle , the perpendicular lines are FA and AB. For angle , they are CD and DE.
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