An architect plans to make a drawing of the room of a house. The segment LM represents the floor of the room. He wants to constr
uct 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 described: 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.
Which of these is likely to be his next step in constructing the perpendicular line?
A.) Fix the compass at L and draw an arc above the line.
B.) Without changing the width of the compass, place the compass at Q and draw an arc through L.
C.) Fix the compass at points P and T and draw arcs which intersect below the line.
D.) Without changing the width of the compass, place the compass at M and draw an arc.
Fixing
the compass at points P and T and drawing arcs which intersect below the line is
likely to be his next step in constructing the perpendicular line.
<span>In
elementary geometry, the property of being </span>perpendicular(perpendicularity) is the relationship between two lines<span> which meet at a right angle (90
degrees). The property extends to other related geometric objects. A </span>line<span> is said to be</span> perpendicular<span> to another </span>line<span> if the two </span>lines<span> intersect at a right angle.</span>
The correct answer between all
the choices given is the third choice or letter C. I am hoping that this answer
has satisfied your query and it will be able to help you in your endeavor, and
if you would like, feel free to ask another question.
