equilateral triangle ;)
The construction that uses the compass for only one step in addition to drawing a circle is the construction of a perpendicular bisector of a line segment. First, you draw a circle with the compass centered on one endpoint of the segment, then draw another circle with the same radius centered on the other endpoint. The intersection points of the circles can be connected to form the perpendicular bisector.
The right way
Two lines cannot be parallel and perpendicular at the same time.
true.
Draw a perpendicular to that line and extend the arms of the angle to meed the perpendicular drawn earlier. Check if the line is bisecting the perpendicular, if yes, then the line is a bisector of the angle. :)
The construction that uses the compass for only one step in addition to drawing a circle is the construction of a perpendicular bisector of a line segment. First, you draw a circle with the compass centered on one endpoint of the segment, then draw another circle with the same radius centered on the other endpoint. The intersection points of the circles can be connected to form the perpendicular bisector.
The right way
Open the compass to a little more than half the distance between the two points. Draw arcs from above the line to below the line from each end. This will look a little bit like an American football. The line that goes through the pointed ends of the football is the perpendicular bisector.
Two lines cannot be parallel and perpendicular at the same time.
true.
Draw a perpendicular to that line and extend the arms of the angle to meed the perpendicular drawn earlier. Check if the line is bisecting the perpendicular, if yes, then the line is a bisector of the angle. :)
haterz gonna hate but it is yes
Place the point if the compass on point B and draw an arc across AB.
The answer depends on the level of your knowledge. Suppose the base is of length b and the vertical angle is x degrees. Draw the base, AC, and its perpendicular bisector. Calculate h = b/[2*tan(x/2)]. That is the height of the triangle so mark this point, B, on the perpendicular bisector. Draw AB and BC. Done!
Yes, you can find an angle bisector using a compass and straightedge construction. First, draw an arc that intersects both rays of the angle, creating two intersection points. Then, using the compass, draw arcs from these two intersection points that intersect each other. Finally, draw a straight line from the vertex of the angle through the intersection of the two arcs; this line is the angle bisector.
Draw a line from any part on the outside of a circle to the exact center of the circle. * * * * * That is fine if you know where the center is but not much use if you are just given a circle and do not know where the exact centre is. In this case: Draw a chord - a straight line joining any two points on the circumference of the circle. Then draw the perpendicular bisector of the chord. Draw another chord and its perpendicular bisector. The two perpendicular bisectors will meet at the centre.
Place the point if the compass on point B and draw an arc across AB.