Asked by Clash of clans
Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle.
I think the answer is that you use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent. Any help would be appreciated.
I think the answer is that you use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent. Any help would be appreciated.
Answers
Answered by
Steve
Construct the angle, with vertex at O
Draw a circle with center at O so it intersects the sides of the angle at A and B. (Extend the sides if necessary)
Place the compass on B and draw a circle of radius BA.
Circle B intersects circle O at C.
Since the arcs BA and CB are equal, so are the angles BOA and BOC. The angles are adjacent and congruent.
Draw a circle with center at O so it intersects the sides of the angle at A and B. (Extend the sides if necessary)
Place the compass on B and draw a circle of radius BA.
Circle B intersects circle O at C.
Since the arcs BA and CB are equal, so are the angles BOA and BOC. The angles are adjacent and congruent.