Answer:
D.Place the compass on a point on the original line.
Complete Question:
A.Create only one arc that intersects the original line.
B.Create two arcs that intersect the original line.
C.Place the compass on a point off the original line.
D.Place the compass on a point on the original line.
Step-by-step explanation:
* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line
<em># Contracting parallel lines</em>
- Given: Line AB and point P not on AB
1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines
2.<u> Place the pin of the compass at point C</u> and draw an arc intersects AB at D and CP at E
3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q
4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U
5. Join P and U by a line this line is parallel to AB
<em># Constructing a perpendicular line through a point on the line</em>
- Given line AB and point P lies on it
1. <u>Place your compass pin at P </u>and draw an arc of any size below AB that crosses the line twice at points C and D
2. Stretch the compass to a larger distance
3.<u> </u>Place the compass pin on point C<u> </u>and draw a small arc above the line
4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E
5. Using a straightedge, join P and E where PE is perpendicular to AB
*<em> Lets find the same steps in the constructions</em>
∵ In first construction we put the pin of the compass at point C which lies in the original line AB
∵ In second construction we put the pin of the compass at point P which lies in the original line AB
∴ The common step is: <em><u>"Place the compass on a point on the original line"</u></em>
⇒ Ten to the third power
⇒ Ten to the fifth power