Question

What is the next step in this construction?

Answer 1

The next step in the construction is:

• Construct a line perpendicular to XP through point A.

Explanation:

From the given construction we may observe that the construction is of a line segment perpendicular to line segment XY.

The steps of construction are as follows:

1) Take a line segment XY.

2) Take a compass and open the compass more than half the length of XY and then make the arc by keeping the compass one's at X and then at Y.

3) The point where the arc meet draw a straight line such that it pass through the point P.

4) AP will be the perpendicular line to XY and point P is the mid-point of XY.

Answer 2

The correct answer option is B. Construct a line perpendicular to XP through point A.

Explanation:

We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.

From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.

So the next step must be to construct a line perpendicular to XP through point A to complete the construction.