To accurately describe the steps needed to construct a copy of angle \( LJK \) using a compass and straightedge, here’s the correct sequence of steps:
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Draw angle \( LJK \): Start with angle \( LJK \) that you want to copy.
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Select a point for the vertex of the new angle: Choose a point \( R \) where you want to create the new angle.
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Using a compass, measure the length from point \( J \) to point \( K \): Place the compass point on \( J \) and adjust its width to point \( K \). This distance will be used to replicate this arc in the new angle.
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Draw an arc based on point \( R \): With the compass set to the length \( JK \), place the pointed end of the compass on point \( R \) and draw an arc that intersects the line extended from point \( R \) (this will be one side of your new angle).
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Label the intersection point: Call the intersection point where the arc meets the line extended from \( R \) point \( Q \).
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Construct an arc from point \( Q \): Without changing the compass width, place the compass on \( K \) and draw an arc that intersects the arc drawn in step 4 at a new point.
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Finding the angle's bisector: While the original instructions mention constructing a vertical line and finding the angle's bisector, we actually only need to construct a line from \( R \) through point \( Q \) at this point to complete the angle.
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Complete the angle: Now, using a straight edge, connect point \( R \) to point \( Q \) and mark the intersection that forms angle \( RQK \).
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Copy the additional side \( LJ \): Finally, to ensure the angles are congruent, you would need to measure the distance \( JL \) and repeat the arc-drawing process through \( R \) as in previous steps.
By following these steps, you will have successfully constructed a copy of angle \( LJK \) at point \( R \).