tangent
Adjacent Arcs
To construct perpendicular lines using a point on the line, first, place the compass point on the given point and draw an arc that intersects the line at two points. Next, keeping the same compass width, place the compass on each of these intersection points and draw two arcs above and below the line, creating intersecting arcs. Finally, draw a line through the point and the intersection of the arcs, which will be perpendicular to the original line.
Bisect two arcs above and below the given points or line and the perpendicular of these arcs cuts through the midpoint.
In step 4 of constructing a perpendicular line through a point, the compass point must be placed on the points where the arcs intersect the original line to ensure that the distances used to create the new arcs are equal. This ensures that the new arcs drawn from these intersection points will intersect at a single point, forming a right angle with the original line. By ensuring equal distances, the resulting line from this intersection will be perpendicular to the original line.
Set a compass to draw a circle with a radius that's more than half the length of the line segment but less than the whole length.Put the compass point at one end of the segment and draw an arc above the middle of the segment and another below the middle of the segment.Put the compass point at the other end of the segment and again draw arcs above and below the middle of the segment, intersecting the first two arcs.Draw a line connecting the point where the two arcs intersect above the segment and the point where they intersect below the segment.That's your perpendicular bisector.
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
Adjacent Arcs
To construct perpendicular lines using a point on the line, first, place the compass point on the given point and draw an arc that intersects the line at two points. Next, keeping the same compass width, place the compass on each of these intersection points and draw two arcs above and below the line, creating intersecting arcs. Finally, draw a line through the point and the intersection of the arcs, which will be perpendicular to the original line.
Bisect two arcs above and below the given points or line and the perpendicular of these arcs cuts through the midpoint.
Draw a straight line and with compass mark off two joined arcs above and below the line and then join the arcs together which will produce a perpendicular line.
Yes, there can be congruent arcs on a circle. Arcs which subtend the same angle at the center are considered as congruent.
In step 4 of constructing a perpendicular line through a point, the compass point must be placed on the points where the arcs intersect the original line to ensure that the distances used to create the new arcs are equal. This ensures that the new arcs drawn from these intersection points will intersect at a single point, forming a right angle with the original line. By ensuring equal distances, the resulting line from this intersection will be perpendicular to the original line.
1) draw the circle with a radius r and the center at O. 2) mark a point, A, on the circle 3) draw a line from O to A and beyond to point B, a little longer than the radius 4) draw a perpendicular bisector at point A using line OB 5) the perpendicular bisector is the tangent at point A In case, you forgot about drawing the perpendicular bisector. Here is the procedure: a) use your compass and mark equidistant points C and D from point A on line OB (make the length slightly less than half the radius); one point should be outside the circle and the other within. b) use your compass and draw an arc from point C and then from point D, with the arc radii being identical and about as long as the circle radius; the two arcs should intercept at two locations, E and F, one on each side of line OA. c) join points E and F to form the perpendicular bisector of line CD ===============================
An arc is a portion of a circle. The default method for drawing arcs is to specify three points-the start point, a second point, and the endpoint. You can draw an arc using several different methods.
Set a compass to draw a circle with a radius that's more than half the length of the line segment but less than the whole length.Put the compass point at one end of the segment and draw an arc above the middle of the segment and another below the middle of the segment.Put the compass point at the other end of the segment and again draw arcs above and below the middle of the segment, intersecting the first two arcs.Draw a line connecting the point where the two arcs intersect above the segment and the point where they intersect below the segment.That's your perpendicular bisector.
The best tool to locate the center of a circle would be a compass. By placing the compass on the edge of the circle and drawing an arc, then repeating this process from another point on the circle, the intersection point of the arcs will give you the center of the circle.
The angle of rotation for a point on a circle to draw an equilateral triangle is 120 degrees, as the triangle's three equal angles divide the circle into three equal 120° arcs.