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An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:

User Cyassin
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2 Answers

4 votes

Answer:

It's actually "Fix the compass at points P and T, and draw arcs that intersect below the line."

Explanation:

i took the test

User Benny Khoo
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5 votes
A line segment LM is drawn. Two arcs equidistant from L on line LM are drawn at points P and T. A point Q is just above L. A compass is fixed at point Q and is shown making an arc at T.
You draw arcs centered at P and T, such that they intersect above and below L. Note that the arcs must have radius greater than LT=LP.

I get the feeling that Q is where the arcs intersect above L, so the intersection below L (at, say, S) means that QS is perpendicular to LM.

Incidentally, constructing LM does not really fit the bill to start with, since either P or T must be beyond the line segment. What it should say is that points L and M are marked on a line extending beyond LM.
User Zeroos
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