Special Segments in Triangles

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

A median is a segment from a vertex of a triangle 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 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 an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

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

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median, and c is the length of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the altitude and the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height, where height is the length of the altitude.

Tags

CCSS.6.G.A.1

Front

How do you identify a midsegment in a triangle?

Back

A midsegment connects the midpoints of two sides and is parallel to the third side, and its length is half the length of the third side.

Front

What is the significance of the perpendicular bisector in a triangle?

Back

The perpendicular bisector of a side of a triangle is the locus of points equidistant from the endpoints of that side.

Tags

CCSS.HSG.CO.C.9

Front

How can you determine if a segment is an angle bisector?

Back

If the segment divides the angle into two equal angles, it is an angle bisector.

Tags

CCSS.HSG.CO.C.9