Special Segments
This special segment connects a vertex of a triangle to the midpoint of the opposite side.
What is a median
Three medians meet at this triangle's center.
What is the centroid?
True or false: The centroid is always inside a triangle.
What is true?
This tool is used to draw circles during geometric constructions.
What is a compass?
An angle measures 80°. An angle bisector divides it into two angles of this measure.
What is 40°?
This special segment divides an angle into two equal angles.
What is an angle Bisector?
Three angle bisectors meet at this triangle center.
What is the incenter?
This triangle center, made by angle bisectors, is always inside a triangle.
Incenter
A circle that touches all three sides of a triangle is called this.
What is an incircle (inscribed circle)?
A median divides a side of a triangle into two parts. One part measures 7 cm. This is the length of the whole side.
What is 14 cm?
This segment cuts a side in half and forms a 90° angle.
What is a perpendicular bisector?
Three altitudes meet at this triangle center.
What is the orthocenter?
In an obtuse triangle, the orthocenter is located here.
What is outside the triangle?
To construct an incircle, you first construct these special segments.
What are angle bisectors?
Three altitudes meet outside a triangle. The triangle must be this type.
What is an obtuse triangle?
This special segment starts at a vertex and forms a right angle with the opposite side.
What is an altitude?
Three perpendicular bisectors meet at this triangle center.
What is the circumcenter?
In a right triangle, the circumcenter is located here.
What is on the triangle (at the midpoint of the hypotenuse)?
The center of a circumcircle is this triangle center.
What is the circumcenter?
A perpendicular bisector divides a 16 cm side into two equal parts. Each part measures this much.
What is 8 cm?
A segment cuts a side into two equal parts but does not make a 90° angle. It begins at the opposite vertex. Name the segment.
What is a median?
This center is known as the triangle's center of gravity.
What is the centroid?
Name BOTH triangle centers that can be outside an obtuse triangle.
What are the circumcenter and orthocenter?
When constructing a circumcircle, the compass distance runs from the circumcenter to this part of the triangle.
What is a vertex?
A triangle has a 90° angle. Its orthocenter is located at this specific point.
What is the vertex of the right angle?