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In an isosceles triangle what are the altitude and media?
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Which type of construction is used to construct a triangle's point of balance?
Segment bisector
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.
What is a segment from a vertex of a triangle perpendicular to the opposite side of the triangle?
An altitude.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.
What median of an isosceles triangle is the same segment in the triangle as the leg bisector hypotenuse altitude?
It is the median which divides the side which is not one of the equal sides.
What is the difference between altitude angle bisector and median?
The altitude is the segment from an angle of a triangle to the side opposite of the angle which is intersected perpendicularly by the altitude., the angle bisector cuts an angle into two congruent angles, and a median forms two congruent line segments.
What is a segment that bisects one the angles of the triangle?
A bisector
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Which type of construction is used to construct a triangle point of balance?
segment bisector
Which type of construction is used to construct a triangle's point of balance?
Segment bisector
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.
What is a segment from a vertex of a triangle perpendicular to the opposite side of the triangle?
An altitude.
What is the median of an isosceles triangle is the same segment in the triangle?
Altitude APEXX
A perpendicular line or segment that bisects one side of a triangle is called the?
Perpendicular bisector.
A perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex?
Altitude: The altitude of a triangle is a perpendicular segment that connects a vertex and its opposite side. Let's construct the altitude of a triangle using a new triangle.
