Special Segments in Triangles Review, Special Segments in Triangles, Unit 4 - Special Segments in Triangles, Special Segments in Triangles
Equidistant
The Perpendicular Bisector Theorem states that any point located on the perpendicular bisector is ________________ to each endpoint of the segment that is being bisected.
Median
The line segment joining a vertex to the midpoint of the opposite side is the ___.
Perpendicular bisector
The line segment that is both perpendicular to a side of a triangle and passes through its midpoint is the ___.
Altitude
The segment drawn from a vertex and is perpendicular to the opposite side is called the ___.
Concurrency
Three (or more) lines that intersect
Median
What is the red line?
Perpendicular Bisector
What type of line is CP?
Angle Bisector
What type of line is JL?
Altitude
What type of line is the red line?
Altitude
a segment from a vertex of a triangle and is perpendicular to the opposite side - altitudes may be in, on or outside of the triangle - related to orthocenter
Median
a segment that connects a vertex of a triangle to the midpoint of the opposite side - related to centroid
Midsegment
a segment that connects the midpoints of two sides of a triangle
Angle bisector
a segment that divides an angle of a triangle into two congruent angles - any point on the angle bisector is equidistant from the angle sides - related to incenter
Perpendicular bisector
a segment, line or ray that intersects a side of the triangle through its midpoint creating a right angle - any point on the perpendicular bisector is equidistant from the segment endpoints - related to circumcenter
Altitude
perpendicular segment from a vertex to the line containing the opposite side of a triangle.
Median
segment who's endpoints are a vertex and the mid point of the opposite side.
Midsegment attributes
the midsegment of a triangle is parallel to the non-intersected side and half its length
Perpendicular bisector
A line that is perpendicular to a side of a triangle and passes through its midpoint.
Angle bisector
A ray that divides an angle into two congruent angles.
Midsegment
A segment joining the midpoints of two sides of a triangle. It is parallel to the side opposite of it, and half the length of the side opposite of it.
Angle Bisector
A segment or ray that divides an angle into two equal parts.
43
Find DE. If DE= 2x+3 and BC=5x-14
30
If AE=3x-6 and EC= x+18 then what is the length of AE?
Altitude
Is a median, altitude, angle bisector, or perpendicular bisector shown?
Angle Bisector
Is a median, altitude, angle bisector, or perpendicular bisector shown?
Median
Is a median, altitude, angle bisector, or perpendicular bisector shown?
Perpendicular Bisector
Is a median, altitude, angle bisector, or perpendicular bisector shown?