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When constructing an angle bisector why must the arcs intersect?
Wiki User
∙ 10y ago
The arcs must intersect because you need a point to use with the point of the angle's vertex to make the line that intersects the angle.
Wiki User
∙ 10y ago
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How do you draw a perpendicular bisector?
Drawing perpendicular bisector for a line:Place the sharp end of a pair of compasses at one end of the line, and open it to just over half of the line. Draw an arc which must intersect the line in the position described. Then put the sharp end at the other of the line and, keeping the compassing at the same length, draw another arc which intersects the first one twice and also the line. Then draw a straight line through the two places where the arcs intersect. This line is the perpendicular bisector. Drawing perpendicular bisector of angle:Places the sharp end of the compass at the point of the angle and, after having opened it arbitraily wide, draw an arc which intersects the two lines meeting to form the angle each once in the said position. Then remove the compass and, always keeping it opened at the SAME length, place the sharp end at each of the two places where the previous arc cuts each of the two lines meeting to form the angle. In this position with the described length, draw a small arc at each of the said places, which should cross each other. Draw a straight line from the point of the angle to this crossing. This should be the bisector of the angle.
The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs?
True
How do you find midpoint of a segment?
Take a compass, extend it about 3/4 of the length of the segment. Then from one end of the segment, draw a 180 degree arc. From the other end draw another arc. Connect the points where the arcs intersect. Where the line intersects with the segment is the midpoint of the segment. That is how you bisect a segment to find the midpoint - geometrically.
How do you draw a spherical triangle where the sum of the angles is 190 degrees?
You could draw two arcs from the North pole to the equator, with a 10 degree separation. The two arcs and the equator would form a 190 degree spherical triangle.
Measures of minor arcs equal measures of inscribed angles?
lol. your on odyssey ware
When two tangents of a circle intersect what is the relationship between the angle they form and the lesser and greater arcs of the circle?
1/2(greaterarc-lesserarc)=angle
Chords ab and CD of circle o intersect inside the circle find the measure of the acute angle formed if arc ac is 42 and arc db is 94?
If two chords intersect inside a circle, the acute angle they form is one half of the sum of the arcs intercepted by its sides and by the vertical angle SO... The acute angle will be one half the sum of the two arcs. So it is 1/2(42+94)=68 degrees.
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compas?
Yes Set the compass to wider than half the length of the line segment. Put the point of the compass on one end of the line segment and draw two arcs, one either side of the line (roughly near the middle). Put the point of the compass on the other end of the line segment and draw two further arcs to intersect the first two arcs. With a straight edge, join the two points where the arcs cross. This line is the perpendicular bisector of the original line segment.
How do you draw a perpendicular bisector?
Drawing perpendicular bisector for a line:Place the sharp end of a pair of compasses at one end of the line, and open it to just over half of the line. Draw an arc which must intersect the line in the position described. Then put the sharp end at the other of the line and, keeping the compassing at the same length, draw another arc which intersects the first one twice and also the line. Then draw a straight line through the two places where the arcs intersect. This line is the perpendicular bisector. Drawing perpendicular bisector of angle:Places the sharp end of the compass at the point of the angle and, after having opened it arbitraily wide, draw an arc which intersects the two lines meeting to form the angle each once in the said position. Then remove the compass and, always keeping it opened at the SAME length, place the sharp end at each of the two places where the previous arc cuts each of the two lines meeting to form the angle. In this position with the described length, draw a small arc at each of the said places, which should cross each other. Draw a straight line from the point of the angle to this crossing. This should be the bisector of the angle.
How do you find the right bisector of a line segment?
Let us say the line segment is AB. Then take a compass and spread it so that the distance between the needle around which the compass rotates and the pencil at the other end is a little over half the length of AB. Place the needle of the compass on A and draw small arcs above and below the line AB. Without altering anything on the compass, place the needle on B and draw small arcs as before above and below the line AB such that these arcs intersect the older arcs. Now join the two intersection points of the arcs and call this line CD. CD is the right bisector of AB A----------------|----------------B
Which construction involves connecting two arcs on opposite sides of a segment?
Construction of a segment bisector a+
How do you get a perpendicular bisector on a line segment?
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.
When constructing an inscribed equilateral triangle how many arcs will be drawn on the circle?
4
What is a process you would use to create the perpendicular bisector to a segment AB using only an unmarked straightedge and an unmarked compass?
Open the compass to a width greater than half the length of AB.Place the compass point at A.Draw arcs above and below the line AB.Move the compass point to B WITHOUT changing the compass setting.Draw arcs above and below AB to intersect them at X and Y.Join XY.XY is the perpendicular bisector of AB.7. Celebrate the successful completion of the task!
Can there be congruent arcs on a circle?
Yes, there can be congruent arcs on a circle. Arcs which subtend the same angle at the center are considered as congruent.
What is the point at which two or more lines or arcs intersect or cross is call what?
The point of intersection.
What does parallel lines intercepted arc conjecture mean?
Parallel lines intercept congruent arcs on a circle. More explanation: Parallel lines never interSECT but they can interCEPT Congruent arcs means that the two arcs would have the same measure of the arcs.
