constructions Flashcards
what is a right bisector?
a perpendicular line that passes through the midpoint of the line segment
how do you draw a right bisector?
draw circles on the ends of the endpoints with radii equal to the length of the segment
draw a line connecting the point of intersection between the two circles
what is an angle bisector?
a line that cuts an angle in half
how do you draw an angle bisector?
draw a circle centered at the vertex that passes through the arms twice
draw the right bisector of the segment that connects the intersection between the circle and the arms
how do you draw a perpendicular line that passes through a point on the line or a point not on the line?
for both of them, draw a circle around the point and mark the points where it intersects with the line
repeat the steps for drawing a right bisector while treating these new points as the endpoints of a line segment
how do you draw a parallel line?
create a perpendicular line using a random point on the line
create a perpendicular line to that new line using a point on that line
how do you draw a parallel line that passes through a certain point?
use the steps to draw a perpendicular line that passes through a point not on the line
the draw a perpendicular line that passes through the point on that line
how do you create a square with constructions and a given line segment?
extend one side of the line segment
create a circle with any radius around the endpoint on the extended side
create a perpendicular line that passes through the endpoint
find the length of the new side by drawing a circle centered at the endpoint with a radius equal to the original segment
mark the intersection of the perpendicular line and the circle
create a circle centered at the new point with a radius equal to the new side
create a circle at the other original endpoint with a radius equal to the length of one of the sides
mark the intersection between these two circles
