Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to make sure the fence post is perpendicular to the ground. Which step should Sam do first to ensure that the fence post model is perpendicular to the ground in the diagram?

A. Place the compass at the point off the ground, and swing an arc on either side of the point.

B. Place the compass at the point off the ground, and swing arcs above and below the ground.

C. Place the compass at the point off the ground, and swing an arc that intersects the ground in one place.

D. Place the compass at the point off the ground, and swing an arc that intersects the ground in two places.

D is correct. The idea here is to ensure that the point on the post is equidistant from the bottom of the post (where it meets the ground), which in turn ensures that the angle between ground and post is 90° in at least two places on the ground.

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JackelineCasarez JackelineCasarez · Answer 2 · 2021-08-24T08:34:47+02:00

The step that Sam must take first in order to make sure that the post of the fence is ⊥ to the bottom of the ground would be:

D). "Place the compass at the point off the ground, and swing an arc that intersects the ground in two places."

In the given situation, Sam is required to locate the compass away from the ground so that the arc created divides the ground into two equal and equidistant places.
Since the point framed on the post would be at an equal distance from its bottom, the angle formed among them(post, as well as, ground) would be a right angle or perpendicular.
Thus, option D states a true claim regarding the precise placement of the compass to get the desired angle i.e. 90° for at least two locations.

Learn more about 'arcs' here:

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