Special Segments in Triangles

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a right angle.

Front

What is an altitude in a triangle?

Back

A segment from a vertex to the opposite side, forming a right angle with that side.

Front

What do perpendicular lines do?

Back

They intersect to form right angles.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is a median in a triangle?

Back

A segment from a vertex to the midpoint of the opposite side.

Front

What is a midsegment in a triangle?

Back

A segment connecting the midpoints of two sides of a triangle.

Front

How do you find the length of a segment in a triangle?

Back

Use the properties of triangles and segments, such as the Pythagorean theorem or segment addition.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the angles formed by perpendicular lines?

Back

They form four right angles (90 degrees each).

Tags

CCSS.8.G.A.5

Front

What is the significance of the centroid in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect, equidistant from the vertices.

Tags

CCSS.HSG.C.A.3