Question

ron is asked to mark point x on pq, using a compass, such that ab is congruent to px. which step should be followed to mark the point correctly? using point p as the center, extend the compass to a radius equal to half of ab and draw an arc intersecting pq at point x. using point q as the center, extend the compass with a radius equal to half of ab and draw an arc intersecting pq at point x. using point q as the center, extend the compass with a radius equal to half of ab and draw an arc intersecting pq at point x. using point q as the center, extend the compass with a radius greater than ab and draw an arc intersecting pq at point x. using point p as the center, extend the compass with a radius equal to ab and draw an arc intersecting pq at point x.

Explanation:

Step1: Understand congruent - length requirement

We need $PX = AB$.

Step2: Determine compass - setting

To make $PX = AB$, we set the compass radius equal to the length of $AB$.

Step3: Choose the center

Since we want to mark a point $X$ on $PQ$ starting from $P$ such that $PX = AB$, we use point $P$ as the center.

Answer:

Using Point $P$ as the center, extend the compass with a radius equal to $AB$ and draw an arc intersecting $PQ$ at Point $X$.