KAP Geometry: Special Segments in Triangles

Front

What is the point called that is equidistant from the sides of a triangle?

Back

Incenter

Front

What type of segment bisects an angle in a triangle?

Back

Angle bisector

Front

What is the segment that connects a vertex of a triangle to the midpoint of the opposite side?

Back

Median

Front

What is the segment that is perpendicular to a side of a triangle and passes through the opposite vertex?

Back

Altitude

Front

What is the point where the three medians of a triangle intersect?

Back

Centroid

Front

What is the segment that bisects a side of a triangle at a right angle?

Back

Perpendicular bisector

Front

If m∠PXR = 2a + 10 and segment PX is the altitude, find the value of 'a' if m∠PXR = 90°.

Back

40

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into a ratio of 2:1.

Front

What is the term for a segment that connects the midpoints of two sides of a triangle?

Back

Midsegment

Front

What is the point called where the three altitudes of a triangle intersect?

Back

Orthocenter