15 POINTS!!!!!
The diagram shows a stage in the construction of a line perpendicular to line GH through point A. The next step in this construction is ____.
A.) to set the compass width to line line segment GA and draw arcs centered at H across both sides of the line.
B.) to use sufficient compass width and draw an arc centered at A crossing the previous arc.
C.) to set the compass width to line GH and draw an arc centered at A crossing the previous arc in the image.
D.) to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

1. Place your compass point on A and swing an arc of any size that crosses the line twice. Let the two points are G and H, where acr intersect the line.

2. Now stretch the compass larger

3. Place the compass on point G and make a small arc above the line.

4. Without changing the span on the compass, place the compass on point H. Two small arcs should be intersecting.

5. Using ruler, connect the intersection of the two small arcs to point A.

In the given figure 3 steps are already done, therefore next step is to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Therefore option D is correct.

ajeigbeibraheem ajeigbeibraheem · Answer 2 · 2022-07-15T13:15:55+02:00

The next step in the construction is to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Option D is correct.

How do we construct a perpendicular line?

The construction of a perpendicular line starts by drawing a straight line between two points.

From the diagram attached, the two points are G and H. By placing the compass at G;

We extend the arc to H and bisect and arc in the upward direction.

Therefore, while maintaining and keeping the same compass width, we draw the arc centered at H crossing the previous arc in the image. Then, a straight line is drawn from A to the center of the arc.

Learn more about constructing a perpendicular line here:

https://brainly.com/question/12801963

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