Special Segments in Triangles

Front

What is an angle bisector?

Back

An angle bisector is a line segment that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is a median in a triangle?

Back

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

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a perpendicular bisector?

Back

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

Front

What is a midsegment in a triangle?

Back

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

Front

How do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified by checking if it divides the angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How do you identify a median in a triangle?

Back

A median can be identified by finding the segment that connects a vertex to the midpoint of the opposite side.

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified by finding the perpendicular segment from a vertex to the opposite side.

Front

What is the relationship between the segments in a triangle?

Back

Each segment (angle bisector, median, altitude, perpendicular bisector, midsegment) has a specific definition and role in triangle geometry.

Tags

CCSS.HSG.CO.C.10

Front

If a triangle has an angle of 98º, what is the measure of the angle bisector?

Back

The angle bisector divides the angle into two equal parts, so each part would measure 49º.

Tags

CCSS.HSG.CO.C.9