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Question

Select the third and fourth steps in the construction of a perpendicular to a line from a point outside the line using a ruler and compass.

A
Draw line MN and take any point K outside the line.
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B
Placing the compass point at point K and using any convenient distance, draw arcs to cut the line MN at two points A and B.
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C
Place the compass point at A and taking a distance greater than half of AB, draw an arc on the lower side of line MN.
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D
Place the compass point at B and using the same distance, draw an arc to cut the previous arc at T.
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Solution

The correct options are
C Place the compass point at A and taking a distance greater than half of AB, draw an arc on the lower side of line MN.
D Place the compass point at B and using the same distance, draw an arc to cut the previous arc at T.
Steps in the construction of a perpendicular to a line from a point outside the line using a ruler and compass are as follows:
  1. Draw line MN and take any point K outside the line.
  2. Placing the compass point at point K and using any convenient distance, draw arcs to cut the line MN at two points A and B.
  3. Place the compass point at A and taking a distance greater than half of AB, draw an arc on the lower side of line MN.
  4. Place the compass point at B and using the same distance, draw an arc to cut the previous arc at T.
  5. Draw the line KT.
Line KT is perpendicular to line MN.

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