Want this question answered?

Q: What are reasons used in the proof that the angle bisector construction can be used to bisect any angle?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

if u divide it into 2 equal parts its a half

Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.

To bisect an angle is to divide the angle in half.

It means to bisect an angle with a compass and a straight edge or rule.

A diagonal always forms an angle bisector in a square. In a rectangle, trapezoid, or any other quadrilateral, a diagonal does not always bisect the angles.

Related questions

That one there!

Proposition 3 of Book IV in Euclid's Elements (angle bisector theorem)

-CPTCP -SSS triangle congruence postulate -all of the radii of the circle are congruent apex :)

if u divide it into 2 equal parts its a half

Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.

To bisect an angle is to divide the angle in half.

Not if you bisect a reflex angle.

Bisector of an angle in basically a line which is drawn from the vertex of the angle and bisect's or cuts the angle into 2 halves. For example we have angle PQR and if we cut a bisector through it then like: QS then SQR = 1/2*PQR

In the same way that you bisect an acute triangle. Alternatively, you could extend one of the rays of the obtuse angle so that you have an acute angle. Bisect that angle and then draw a perpendicular to the bisector of the acute angle through the vertex.

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! =)

SSS - APEX

Bisect means to seperate or split something into equal parts , like an angle bisector splits an angle exactly in half