Which drawing shows the construction of a perpendicular bisector that is congruent to the solid line segment
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To determine which drawing shows the construction of a perpendicular bisector congruent to a given solid line segment, we need to follow these steps:
1. Draw the solid line segment that needs to be bisected on a blank piece of paper.
2. Locate the midpoint of the line segment by measuring its length and dividing it in half. Mark the midpoint on the line segment.
3. Using a compass, place the sharp end on the midpoint and draw an arc that crosses the line segment on both sides.
4. Without changing the compass width, place the sharp end on one of the points where the arc intersects the line segment and draw an arc above the line segment.
5. Repeat step 4, but this time, place the sharp end on the other point where the arc intersects the line segment. Draw another arc above the line segment.
6. With a ruler or straightedge, draw a line from the intersection points of the arcs. This line will be the perpendicular bisector of the original line segment.
Now, by analyzing the given drawings, you can identify the one that follows these steps accurately and represents the construction of a perpendicular bisector congruent to the solid line segment.
To find the drawing that shows the construction of a perpendicular bisector congruent to a solid line segment, you need to follow these steps:
1. Draw a line segment: Start by drawing a solid line segment of any length. Let's call its endpoints A and B.
2. Find the midpoint: Use a compass to find the midpoint of the line segment AB. To do this, open the compass wider than half the length of the line segment and place the compass needle on point A. Swing an arc that intersects the line segment above and below. Repeat the process with the compass needle on point B. The intersection of these two arcs is the midpoint, which we'll call M.
3. Draw a perpendicular line: From the midpoint M, use a straightedge or ruler to draw a straight line that passes through M and is perpendicular to the line segment AB. This line should intersect the segment at a right angle. Let's call the point of intersection with AB, P.
4. Measure the line segment: Use a ruler or other measuring tool to measure the length of the line segment AP and record this measurement.
5. Construct congruent segments: Starting from point P, use the compass with the measurement of AP to mark two arcs above and below the line segment AP. Then, without changing the compass width, place the compass needle on point A and swing an arc above the line segment AP. Repeat the process with the compass needle on point P and swing an arc below the line segment AP. These arcs intersect the perpendicular line we drew earlier at points C and D.
6. Connect the points: Use a straightedge or ruler to connect points C and D. The line segment CD is the perpendicular bisector of the line segment AB and is congruent to it.
Now, you can find the drawing that matches these steps and shows the construction of a perpendicular bisector that is congruent to the solid line segment.