Question

Choose the correct order of the steps for constructing a perpendicular to AB from an outside point P. The jumbled steps are given below.

• A. 4, 1, 3, 2, 5
• B. 4, 3, 5, 1, 2
• C. 4, 3, 1, 5, 2
• D. 4, 1, 3, 5, 2

Answer 1

The correct option is C 4, 3, 1, 5, 2

The steps for the construction of a perpendicular to AB from an outside point P are given below.

Step 1: (4) Draw a straight line AB and mark a point P lying outside AB.

Step 2: (3) With a suitable radius and P as the center, draw an arc that cuts AB at X and Y.

Step 3: (1) With a radius of more than half of XY, draw an arc above AB taking X as the center.

Step 4: (5) With Y as the center, draw another arc with the same radius as in the previous step that cuts the previous arc. Name the point of intersection as Q.

Step 5: (2) Using a scale, join PQ. Mark the point of intersection of PQ and AB as O. Now, PQ is perpendicular to AB. We get: