Perpendicular & Angle Bisectors (incenter and circum)

Front

What is the definition of an Altitude in a triangle?

Back

A segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side.

Front

What is the definition of a Median in a triangle?

Back

A segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is the definition of an Angle Bisector?

Back

A segment that divides an angle into two equal angles.

Front

What is the definition of a Perpendicular Bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the definition of a Midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle.

Front

What is the Circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the Incenter of a triangle?

Back

The point where the angle bisectors of a triangle intersect, equidistant from all sides.

Front

What is the Centroid of a triangle?

Back

The point where the medians of a triangle intersect.

Front

How do you find the equation of the perpendicular bisector of a segment?

Back

1. Find the midpoint of the segment. 2. Determine the slope of the segment. 3. Use the negative reciprocal of that slope for the perpendicular bisector.

Front

What is the relationship between the Incenter and the sides of a triangle?

Back

The Incenter is equidistant from all three sides of the triangle.