
	Where results make sense

Topic: Angle bisector

Related Topics

angle bisector

In the News (Sun 27 May 12)

EXECUTIVE POWER

Iran

ANALYSIS

Pakistan

Family compact

	PlanetMath: angle bisector
		The interior bisector of an angle is the line or line segment that divides it into two equal angles on the same side as the angle.
		The exterior bisector of an angle is the line or line segment that divides it into two equal angles on the opposite side as the angle.
		This is version 1 of angle bisector, born on 2002-11-27.
	planetmath.org /encyclopedia/AngleBisector.html (115 words)

	All about angle bisectors
		An angle bisector of an angle is known to be the locus of points equidistant from the two rays (half-lines) forming the angle.
		Altitudes of a triangle serve as angle bisectors of the associated orthic triangle.
		It appears that angles in a triangle with the mirror property are not arbitrary.
	www.cut-the-knot.org /triangle/ABisector.shtml (675 words)

	Bisection - Wikipedia, the free encyclopedia
		The perpendicular bisector of a segment also has the property that each of its points is equidistant from the segment's endpoints.
		The interior bisector of an angle is the line or line segment that divides it into two equal angles on the same side as the angle.
		The exterior bisector of an angle is the line or line segment that divides it into two equal angles on the opposite side as the angle.
	en.wikipedia.org /wiki/Bisection (487 words)

	Angle bisector theorem - Wikipedia, the free encyclopedia
		In geometry, the angle bisector theorem relates the length of the side opposite one angle of a triangle to the lengths of the other two sides of the triangle.
		Let the angle bisector of angle A intersect side BC at a point D.
		The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment DC is equal to the ratio of the length of side AB to the length of side AC.
	en.wikipedia.org /wiki/Angle_bisector_theorem (130 words)

	Definition of Angle Bisector - Math Open Reference
		In an angle bisector, it is a line passing through the vertex of the angle that cuts it into two equal smaller angles.
		The two smaller angles are adjacent angles because they share the common leg
		See also Constructions: bisecting an angle to see how to bisect an angle with compass and straightedge.
	www.mathopenref.com /bisectorangle.html (150 words)

	Angles and angle terms
		An acute angle is an angle measuring between 0 and 90 degrees.
		The blue ray on the right is the angle bisector of the angle on the left.
		The red ray on the right is the angle bisector of the angle on the left.
	www.mathleague.com /help/geometry/angles.htm#whatisanangle (526 words)

	Assignment #5
		Create the segment between the vertex of the angle and the point of intersection of the angle bisector and the opposite side by selecting the vertices that define the segment.
		Measure the distance from the point of intersection of the three angle bisectors to each of the three sides of the triangle.
		Create a circle centered at the point of intersection of the 3 angle bisectors such that the circle has radius equal to the distance from the point to one of the sides of the triangle.
	www.csudh.edu /math/syoshinobu/141web/anglebisector.htm (506 words)

	Conjcinq
		C-25 The sum of the measures of the angles in a triangle is 180 deg.
		C-32 The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles (Triangle Exterior Angle Conjecture).
		C-45 The vertex angles of a kite are bisected by a diagonal (Kite Angle Bisector Conjecture).
	members.fortunecity.com /mathman55/hw/conjcinq.htm (1234 words)

	WHC - WHC
		C-63 The perpendicular from the center of a circle to a chord is the perpendicular bisector of the chord.
		The measure of the angle of rotation is equal to twice the measure of the angle between the pair of intersecting reflection lines.
		C-106 The angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.
	www.freewebs.com /whc07/geoconjectures.htm (2723 words)

	SparkNotes: Constructions: Dividing Angles and Segments
		Such a ray that divides an angle into two equal angles is called an angle bisector.
		With angle bisectors and trisectors, it also holds true that any of the new angles created by the bisector or trisector is equal to exactly one-half or one-third of the original angle, depending on whether the angle has been bisected or trisected.
		If a bisector is perpendicular to the segment it bisects, it is called the perpendicular bisector of that segment.
	www.sparknotes.com /math/geometry1/constructions/section5.rhtml (445 words)

	Construction: Bisect Angle (Site not responding. Last check: 2007-10-21)
		Definition The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles.
		Draw an arc that is centered at the vertex of the angle.
		Since the intersection points and the vertex all lie on the angle bisector, we know that the line which passes through these points must be the angle bisector.
	www.coe.tamu.edu /~strader/geometry/bisectangle1.0/bisectangle.html (579 words)

	Right Triangle Median, Altitude, Bisector (Site not responding. Last check: 2007-10-21)
		The bisector of angle ACB also bisects angle MCH because the purple angle inscribed in the circle is half that of the central angle, M, because they are both subtended by the same arc.
		In that circle, inscribe an angle such that one of its rays is the perpendicular bisector of AB, and the other passes through C, and intersects the circle at C'.
		Inscribed Angle -- proof that an angle inscribed in a circle is half the central angle that is subtended by the same arc
	mcraefamily.com /MathHelp/GeometryTriangleRightMedianAndAltitudeAreReflectionsAboutBisector.htm (386 words)

	Ratio:Sides of a Triangle to Segments cut by an Angle Bisector (Site not responding. Last check: 2007-10-21)
		Construct an angle bisector in the triangle and draw the segment along the angle bisector from the vertex to the intersection with the opposite side.
		The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides.
		Prove that the bisector of an exterior angle of a triangle divides the opposite side externally into segments that are proportional to the adjacent sides.
	jwilson.coe.uga.edu /emt725/Bisect/bisect.html (223 words)

	“Geometry and Trigonometry for Middle School Teachers” (Site not responding. Last check: 2007-10-21)
		Second from the point where the arc crosses the angle ray extend your compass just beyond half way between the two rays of the angle and draw another arc, repeat this step from the other side.
		Thales demonstrated that a circle is bisected by its diameter, that angles at the base of an isosceles triangle are equal, that two intersecting straight lines produce opposite and equal angles, and that the angle of a semi-circle is a right angle.
		Taking a triangle and using the perpendicular bisectors of all sides of the triangle draw a circle around the triangle, having the vertex of all three angles of the triangle to touch the circle.
	www.neiu.edu /~ebhunt/Trig/GTM2.HTM (1190 words)

	Homework2
		Prove that the three angle bisectors of the internal angles of a triangle are concurrent.
		The angle bisectors all contain point D. So we can conclude that the angle bisectors of the interior angles of a triangle are concurrent.
		The point of concurrency of the angle bisectors is the "incenter" and the circle I have constructed is the "inscribed circle".
	web.pdx.edu /~bjsahler/Homework2.html (398 words)

	Illuminations: IGD: Angle Bisector
		The angle bisector is a ray that divides an angle into two congruent angles.
		Mark a point of intersection D of the two circles that lies in the interior of the angle.
		See how to use angle bisectors to construct the incircle of a triangle.
	illuminations.nctm.org /ActivityDetail.aspx?id=49 (319 words)

	Math Forum - Ask Dr. Math
		Suppose the bisector of the angle at A and the bisector of the angle at B are perpendicular.
		Suppose they intersect at D. This gives you a smaller triangle ABD, where the angle at D is a right angle.
		That means that the angle CAB, which is twice DAB (because AD is the angle bisector; and the angle CBA, which is twice DBX (Because BD is the angle bisector), add up to twice 90 degrees, or 180 degrees.
	mathforum.org /library/drmath/view/54971.html (196 words)

	MathLinks Math Forums :: View topic - 2 circles
		Hence, the point M lies on the angle bisector of the angle BAC.
		Now, everything is simple: Since the points B', C' and M' lie on one line, and the point M' lies on the angle bisector of the angle B'AC', the point M' is the point of intersection of the angle bisector of the angle B'AC' with the line B'C'.
		Since the angle bisector of an angle of a triangle divides the opposite side in the ratio of the adjacent sides, we have
	www.mathlinks.ro /Forum/topic-5433.html (1164 words)

	PlanetMath: high school mathematics
		normal line, angle bisector, angle bisector as locus
		determining from angles that a triangle is isosceles
		opposing angles in a cyclic quadrilateral are supplementary
	planetmath.org /encyclopedia/HighschoolMathematics.html (143 words)

	Angle bisector (Site not responding. Last check: 2007-10-21)
		Let the points where this arc meets the arms of the angle be B and C.
		Scribe an arc centered at B and an arc centered at C with the same radii.
		AD is the bisector of the angle at A. Theorem:
	www.sonoma.edu /users/w/wilsonst/Courses/Math_150/c-s/Angle_bisector.html (53 words)

	Mathwords: Angle Bisector
		A line or ray that divides an angle in half.
		For polygons, an angle bisector is a line that bisects an interior angle.
		Note: The angle bisectors of a triangle are concurrent and intersect at the incenter.
	www.mathwords.com /a/angle_bisector.htm (58 words)

	BISECT (Site not responding. Last check: 2007-10-21)
		The BISECT command lets you create an angle bisector to an angle formed by two selected line segments, or a perpendicular bisector to a single line segment.
		BISECT also uses this point to determine which bisector is meant to create from the two possible ones for the angles formed by two line segments.
		Once the creation of a bisector is completed, BISECT will continue to cycle through the whole procedure to create the next bisector, until you press the space bar to the first prompt, or press to terminate it.
	www.twincad.com /tcl-pgm/bisect.htm (511 words)

	Angle bisector (Site not responding. Last check: 2007-10-21)
		Let the points where this arc meets the arms of the angle be B and C.
		Scribe an arc centered at B and an arc centered at C with the same radii.
		AD is the bisector of the angle at A. Theorem:
	sonoma.edu /users/w/wilsonst/Courses/Math_150/c-s/Angle_bisector.html (53 words)

	Center for Technology and Teacher Education: Mathematics Activities
		Students should use either angle measurement or the length of sides to verify the status of their triangle.
		Visualize the three interior angle bisectors of the triangle.
		To make it easier to distinguish between the angle bisectors and the lines perpendicular to the sides change the color of the perpendicular lines in your sketch window.
	teacherlink.org /content/math/activities/skpv4-centerstri1/guide.html (1197 words)

	angle bisectors
		If we mark the point where a bisector intersects the opposite side and measure the lengths, we discover another property of angle bisectors.
		bisector from A to A' We have labeled this "t" on the figure, and the two parts that make up side a are labeled x and y.
		Here is one additional property of the angle bisector that I have never seen in a textbook. Each bisector, such as AA'
	www.pballew.net /Tribis.html (377 words)

	Angle Bisector
		Draw a circle with center at the vertex of the angle.
		Use the Measure button to verify that the angle bisector has been constructed.
		Thus, OD must be the angle bisector of angle AOB.
	illuminations.nctm.org /tools/IGD_lines/AngleBisector.html (413 words)

	Angle bisector notebook \| Whiteboard Plus
		A Smart board notebook demonstrating finding an angle bisector using construction lines and a pair of compasses.
		Page 1 shows the written instructions for bisecting an angle using a pair of compasses and a straight edge.
		If you wish to edit the flash animation you need Macromedia or Adobe Flash (MX or higher) and the Flash file angle bisector which will be available in the Pro Bundle.
	www.whiteboardplus.com /node/9 (444 words)

	IMO 1996/2 solution (Site not responding. Last check: 2007-10-21)
		We need two general results: the angle bisector theorem; and the result about the feet of the perpendiculars from a general point inside a triangle.
		Let P be a general point in the triangle ABC with X, Y, Z the feet of the perpendiculars to BC, CA, AB.
		Hence AW/WP = AC/PC, so, by the angle bisector theorem, CW is the bisector of angle ACP, as required.
	www.cs.cornell.edu /~asdas/IMO/imo/isoln/isoln962.html (207 words)

	Angle Bisector (Site not responding. Last check: 2007-10-21)
		The Angle Bisector command makes a ray that bisects an angle determined by three selected points.
		For example, to bisect angle ABC, where point B is the vertex of the angle; select the points in the order A-B-C or C-B-A. Try this:
		If you move any of the points that determine the angle, the ray bisecting the angle will adjust its position to remain the angle bisector.
	members.aol.com /markwestbr/GSPtutorial/construct/angbisec.html (127 words)

	The Angle Bisector Theorem. How a bisector creates proportional sides of a triangle.. (Site not responding. Last check: 2007-10-21)
		The angle bisector theorem states that if a a ray or segment bisects an angle of a triangle then it divides the two segments on either side proportionally.
		By the angle bisector theorem, the proportions below hold true.
		Use the angle bisector theorem to find the missing side length
	www.mathwarehouse.com /geometry/similar/triangles/angle-bisector-theorem.php (278 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		16) states, "The bisector of an interior angle of a triangle divides the opposite side internally into two segments which are proportional to the adjacent sides." If you could provide any help, we would greatly appreciate it.
		If you recall that it is used in finding the incenter of the triangle, or have studied loci, you will know that every point on the angle bisector is equidistant from the two legs of the angle.
		There's only one point in our picture on this bisector, other than vertex C itself.
	mathforum.org /library/drmath/view/61453.html (240 words)

	PinkMonkey.com Geometry Study Guide - 5.5 Angle bisector theorem
		PinkMonkey.com Geometry Study Guide - 5.5 Angle bisector theorem
		In a triangle the angle bisector divides the opposite side in the ratio of the remaining sides.
		CE Thus the bisector divides the opposite side in the ratio of the remaining two sides.
	www.pinkmonkey.com /studyguides/subjects/geometry/chap5/g0505501.asp (75 words)

Try your search on: Qwika (all wikis)