Construct the line perpendicular to segmentTU at point V.

figure 3
(1 point)
Responses

choice A
Image with alt text: choice A

choice BThe vertical line is crossed above and below point upper V by 2 crossed compass lines. Line segment upper T upper U is crossed to the right and left of point upper V by single compass lines.
Image with alt text: choice B The vertical line is crossed above and below point upper V by 2 crossed compass lines. Line segment upper T upper U is crossed to the right and left of point upper V by single compass lines.

choice cA slightly curved line crosses through point upper V above line TU. A more curved line crosses through point upper V below line TU. Crossed curved lines cross the vertical line above point upper V.
Image with alt text: choice c A slightly curved line crosses through point upper V above line TU. A more curved line crosses through point upper V below line TU. Crossed curved lines cross the vertical line above point upper V.

choice D
Image with alt text: choice D
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choice D

To construct a line perpendicular to segment TU at point V, you can follow these steps:

Step 1: Draw segment TU on a piece of paper or a drawing software.

Step 2: Locate point V on segment TU.

Step 3: Place the compass on point V and draw a circle with any radius that intersects segment TU.

Step 4: Without changing the compass width, place the compass on both intersections of the circle with segment TU and draw arcs above and below point V.

Step 5: Place the compass on the intersections of the arcs above and below point V, and draw arcs that intersect each other above and below the circle.

Step 6: Draw a straight line connecting the intersection points of the arcs above and below the circle. This line is perpendicular to segment TU at point V.

In the provided choices, choice B shows the correct construction process. It shows two crossed arcs above and below point V intersecting the line segment TU, which indicates a perpendicular line.

To construct a line perpendicular to segment TU at point V, follow these steps:

1. Draw segment TU on a piece of paper or a computer screen.
2. Place your compass at point V and draw two arcs that intersect segment TU on both sides of point V. These arcs should be approximately the same length.
3. Without changing the width of your compass, place its pointed end on the intersection point of the arcs and draw arcs that intersect each other directly above and below point V. These arcs should form an "X" shape.
4. Finally, draw a straight line connecting the intersection point of the arcs directly above and below point V. This line is the perpendicular line to segment TU at point V.

The correct choice would be choice B, as it shows the vertical line crossed above and below point V by two crossed compass lines, and line segment TU is crossed to the right and left of point V by single compass lines.