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All of the radii of a circle are congruent

CPCTC

sss triangle congruence postulate

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Q: What are reasons used in the proof that the angle-bisectors construction can be used to bisect any angle?
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Which of the following are reasons ised in the proof that the angle-bisector construction can be used to bisect any angle?

That one there!


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)


Which of the following are reasons used in the proof that the angle bisector construction can be used to bisect any angle?

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


How do you bisect an obtuse angle?

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.


You can bisect an angle using the paper folding technique?

Yes, you can bisect an angle using the paper folding technique.


When you bisect an angle you are?

Dividing the angle into 2 congruent angles


What is it called when divide an angle in two equal angle?

bisect


Does a bisector cut an angle in half?

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


What does it mean for diagonals to bisect each other?

to bisect an angle means to cut it in half


What is bisect?

A bisect splits something completely in half whether it is an angle, a line, or whatever


Is it true that you cannot bisect an angle using paper folding constructions?

No. It is possible to fold an angle on paper to bisect it.


Does the angle bisector in a triangle bisect the opposite side?

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.