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Given A̅B̅ explain how to construct a square with sides of link AB
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To construct a square with sides of length AB, you need to follow the steps below:
Step 1: Draw segment AB of the given length.
Step 2: Extend segment AB to create a line segment.
Step 3: At point A, construct a perpendicular line to segment AB. This can be done using a compass by adjusting its width to a length greater than half of AB. Draw arcs from points A and B with the same radius, intersecting the line segment to create points C and D.
Step 4: Using a compass, take the distance AB and place the compass point at point C. Draw an arc that intersects the perpendicular line to segment AB.
Step 5: Repeat step 4, this time placing the compass point at point D. Draw another arc that intersects the perpendicular line to segment AB.
Step 6: Connect the points of intersection on the perpendicular line to segment AB to form a square.
By following these steps, you can construct a square with sides of length AB.