Triangle Special Segments

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

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

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is a perpendicular bisector?

Back

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

Front

What does the median of a triangle do?

Back

The median connects a vertex to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.

Tags

CCSS.HSG.CO.C.10

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The centroid is the point where all three medians intersect, and it divides each median into a ratio of 2:1.

Tags

CCSS.HSG.CO.C.10

Front

What is the difference between an altitude and a median?

Back

An altitude is perpendicular to the opposite side, while a median connects a vertex to the midpoint of the opposite side.

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

What is the property of a midsegment?

Back

A midsegment is parallel to the third side of the triangle and is half its length.

Tags

CCSS.HSG.SRT.B.4