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.
• 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.
• 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.

Answer 1

Answer: (C), (D)

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.