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How are perpendicular bisectors and angle bisectors the same?
In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.
Divides an angle into two equal parts?
if u divide it into 2 equal parts its a half
For what kinds of triangles can the perpendicular bisector of a side also be an angle bisector of the angle opposite the side?
Every isosceles or equilateral triangle.
Does a bisector cut an angle in half?
To bisect an angle is to divide the angle in half.
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
If you extend a ray that bisects an angle of a triangle so that it passes through the opposite side will it bisect the opposite side?
Only in an equilateral triangle will bisectors of the three angles bisect the opposite sides. In an isosceles triangle, only the bisector of the one different angle will bisect the opposite side (between the identical angles).
Is median is a angle bisector?
A median is a line drawn from the centre of a side of a triangle to the opposite vertex. Only in two cases does it also bisect the angle :- 1) All three medians of an equilateral triangle bisect the angle of the opposite vertex. 2) One median (from the unequal side to the enclosed angle of the two equal sides) bisects the angle of the opposite vertex.
What are 15 facts about an equilateral triangle?
1. It has 3 sides. 2. It has 3 angles. 3. One is side a. 4. The angle opposite side a is Angle A. 5. The sceond side is side b. 6. The angle opposite side b is angle B. 7. The third side is side c. 8. The angle opposite side c is angle C. 9. All sides have equal lenght. 10. All angles have equal measures. 11. Each angle is 60 degrees. 12. The bisector of angle A will bisect side a. 13. The bisector of angle B will bisect side b. 14. The bisector of angle C will bisect side c. 15. Each bisector is perpendicular to the opposite side. 16. Each bisector creates a 30, 60, 90 right triangle.
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.
Will a angle bisector determine a midpoint?
If you perform an angle bisector on an angle in a triangle, then it will go through the midpoint of the opposite side.
How are perpendicular bisectors and angle bisectors the same?
In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.
Divides an angle into two equal parts?
if u divide it into 2 equal parts its a half
For what kinds of triangles can the perpendicular bisector of a side also be an angle bisector of the angle opposite the side?
Every isosceles or equilateral triangle.
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
Does a bisector cut an angle in half?
To bisect an angle is to divide the angle in half.
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 :)
