0
Add your answer:
Earn +20 pts
What are the similarities between angle bisector and perpendicular bisector?
Similarities between angle bisector and perpendicular bisector: Perpendicular bisector bisects a line segment into two equal parts at 90°. Angle bisector bisects an creating two congruent angles they both bisect into equal parts! =)
Which of the following best describes a bisector of an angle?
The set of all points in a plane that are equidistant from the two sides of a given angle
What is the difference between a theorem and postulate?
Postulates are assumed to be true and we need not prove them. They provide the starting point for the proof of a theorem. A theorem is a proposition that can be deduced from postulates. We make a series of logical arguments using these postulates to prove a theorem. For example, visualize two angles, two parallel lines and a single slanted line through the parallel lines. Angle one, on the top, above the first parallel line is an obtuse angle. Angle two below the second parallel line is acute. These two angles are called Exterior angles. They are proved and is therefore a theorem.
How do you prove the hinge theorem?
If of triangle ABC and A'B'C' sides AB = A'B' and AC = A'C', and the included angle at A is larger than the included angle at A*, then BC > B'C'.Proof:A A'/|\ /|/ | \ / |/ | \ / |/ | \ B'/ |B | X \C |C'DWe construct AD such that AD = A'C' = AC and angle BAD = angle B'A'C'.Triangles ABD and A'B'C' are congruent. Therefore BD = B'C'.Let X be the point where the angle bisector of angle DAC meets BC.From the congruent triangles AXC and AXD (SAS) we have that XD = XC.Now, by the triangle inequality we have that BX + XD > BD, so BX + XC > BD, and consequently BC > BD = B'C'.
To use asa to prove that sea pen one must show that by the vertical angle theorem?
sea = NEP Apex.
What is an angle bisector theorem?
a point on the bisector of an angle, it is equidistant from the 2 sides of the angle
What is the converse of the angle bisector theorem?
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
The point of concurrency of the medians of a triangle?
the centroid. here are all the points of concurrency: perpendicular bisector- circumcenter altitudes- orthocenter angle bisector- incenter median- centroid hope that was helpful :)
Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?
No, it does not.
What is a perpendicular bisector concurrency conjecture?
The Perpendicular bisector concurrency conjecture is the circumcenter
in the figure shown, KJ=?
converse of the angle bisector theorem
What reasons are proof that the angle bisector construction can be used to bisect any angle?
Proposition 3 of Book IV in Euclid's Elements (angle bisector theorem)
What bisects an angle?
The Angle Bisector Theorem states that given triangle and angle bisector AD, where D is on side BC, then . Likewise, the converse is also true. Not sure if this is what you want?
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
