Special Segments 5-1 to 5-3 (Use this one)

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

Identify the properties of a median.

Back

A median divides a triangle into two smaller triangles of equal area.

Front

Identify the properties of an altitude.

Back

An altitude can be inside, outside, or on the triangle, depending on the type of triangle.

Front

Identify the properties of a perpendicular bisector.

Back

A perpendicular bisector is equidistant from the endpoints of the segment it bisects.

Front

Identify the properties of a midsegment.

Back

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

Front

How do you find the length of a median?

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 vertex and c is the length of the opposite side.

Front

How do you find the length of an altitude?

Back

Use the formula: Altitude = (2 * Area) / base, where Area is the area of the triangle and base is the length of the base.