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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.
A perpendicular line or segment that bisects one side of a triangle is called the?
Perpendicular bisector.
What is converse of mid point theorem?
If a segment bisects one side of a triangle and is parallel to another side, it bisects the third side as well.
What is a segment that separates one of the angles of a triangle into two congruent angles called?
angle bisector
What is one difference between an altitude and a median of a triangle?
An altitude is a perpendicular drawn from a point to the opposite segment while a median is a segment drawn from a point to the opposite side such that it bisects the side.Altitudes and their concurrenceMedians and their concurrence
Do kite diagonals bisect the angles?
No - only one of the diagonals bisects the angles of the shape.
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).
Can you show how a right triangle has one line of symmetry?
the only way for a right triangle to have a line of symmetry, is if the legs of the triangle are congruent. Or you can show that both non-right angles are congruent (45 degrees). you may also prove that the altitude of the triangle bisects the hypotenuse or that it equals 1/2 of the hypotenuse.
What can you find about diagonals of a kite?
They are unequal in length but one of the bisects the other at right angles.
Does a kite have a diagonal which bisects a pair of opposite angles?
Yes: one of them, but the other diagonal does not.
Can you make a triangle with one measure being equal to 180?
You can certainly make one of the sides of the triangle 180 units long. But if you try to make one of its angles 180 degrees, than the whole triangle will just look like a line segment. The other two angles will both be zero, the triangle won't have any area, and it'll be pretty useless as a triangle.
To bisect is to cut?
To bisect anything is to cut it in half. So if one line segment bisects another line segment, then the second segment is divided into two equal lengths.
