false
False
The symbol for an angle bisector is typically represented by a ray or line segment that divides an angle into two equal parts. In geometric notation, it may be denoted as ( \overline{AD} ) if ( D ) is the point on the angle's interior where the bisector intersects. Additionally, the angle bisector is often associated with the notation ( \angle ABC ) where ( D ) lies on the ray ( \overline{AC} ), indicating that ( \overline{AD} ) bisects ( \angle ABC ).
The converse of perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of that segment. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment. This theorem is a fundamental concept in geometry, often used in constructions and proofs.
FALSE
False
The symbol for an angle bisector is typically represented by a ray or line segment that divides an angle into two equal parts. In geometric notation, it may be denoted as ( \overline{AD} ) if ( D ) is the point on the angle's interior where the bisector intersects. Additionally, the angle bisector is often associated with the notation ( \angle ABC ) where ( D ) lies on the ray ( \overline{AC} ), indicating that ( \overline{AD} ) bisects ( \angle ABC ).
The converse of perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of that segment. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment. This theorem is a fundamental concept in geometry, often used in constructions and proofs.
true
In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.
Then angle x is between 180 and 360 degrees
Quadrantal angle
The interior angle of a polygon is the angle formed by two adjacent sides of a polygon where the angle lies inside the area formed by the polygon. The exterior angle is that formed by one of these sides and the line formed by extending the other side. Consequently, External angle = 180 deg - Internal angle. Because they form supplementary angles, it does not matter which of the two sides you extend.