Question: 1. What is a necessary step for constructing perpendicular lines through a point on a line? * Draw a line that intersects the first line
1. What is a necessary step for constructing perpendicular lines through a point on a line?
* Draw a line that intersects the first line at an acute angle using a straightedge.
*Draw a ray that intersects the first line at an acute angle using a straightedge.
*Draw arcs on either side of a given point on the line.
*Draw arcs on either side of a given point off the line.
2. Which of these is a correct step in constructing congruent angles?
*Use a straightedge and draw an arc across the first arc from a leg of the given angle.
*Use a straightedge to measure the width between the points where the first arc cuts both legs of the given angle.
*Use a compass and draw an arc across both the legs of the given angle.
*Use a compass and join points to make the new leg of the congruent angle.
3. Which of the following is the final step in bisecting a line segment?
*Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.
*Mark the intersection points of the arcs, and draw a line through those two points.
*Place the compass on one of the endpoints, and open the compass to a distance more than halfway across the segment.
*Swing an arc on either side of the segment.
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