0
What is the missing justification in the proof of the angle bisector construction?
SSS - APEX
What else can I help you with?
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!
How do you find the bisector of a given angle using a paper folding construction?
True:)
One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction?
true
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What divides an angle into 2 congruent angles?
An Angle Bisector
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 ised in the proof that the angle-bisector construction can be used to bisect any angle?
That one there!
How do you find the bisector of a given angle using a paper folding construction?
True:)
One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction?
true
One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction?
True -
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.
What are the reasons used in the proof that the angle-bisector construction can be used to bisect any angle?
The angle-bisector construction is proven effective by demonstrating that the two angles formed by the bisector are congruent. This is achieved using the properties of isosceles triangles, where the lengths of the sides opposite the equal angles are shown to be proportional to the lengths of the adjacent sides of the original angle. Additionally, the use of geometric tools like a compass and straightedge allows for the accurate replication of distances and angles, ensuring that the bisector divides the angle into two equal parts. Thus, the congruence of the resulting angles confirms that the construction reliably bisects any angle.
Does rhombus have angle bisector?
Any shape which has an angle can have an angle bisector.
What are reasons used in the proof that the angle bisector construction can be used to bisect any angle?
The angle bisector construction can bisect any angle due to the properties of congruent triangles and the equal distances from a point on the bisector to the sides of the angle. By drawing an arc from the vertex that intersects both sides, we create two segments that can be shown to be equal. Using the triangle congruence criteria (such as the Side-Angle-Side or Angle-Side-Angle postulates), we can demonstrate that the angles formed are congruent, confirming that the angle has been bisected accurately. Thus, any angle can be bisected using this construction method.
One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction true or false?
True.
What divides an angle into 2 congruent angles?
An Angle Bisector
