5.1-5.4 Segments in Triangles

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 a midsegment in a triangle?

Back

A midsegment is a line 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 altitude in a triangle?

Back

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

Front

If segment AB = 12, what is segment CB if AB is a median?

Back

CB = 12, because a median divides the opposite side into two equal segments.

Front

If segment EB = 12, what is segment GB if EB is a midsegment?

Back

GB = 36, because a midsegment is half the length of the side it is parallel to.

Front

What is the relationship between the lengths of segments in a triangle when a midsegment is drawn?

Back

The midsegment is parallel to the third side and its length is half the length of that side.

Front

If segment EH = DH, what can be inferred about segment EH?

Back

Segment EH is a median, as it divides the opposite side into two equal segments.

Front

If segment GB = 12, what is segment EB if GB is a midsegment?

Back

EB = 4, because a midsegment is half the length of the side it is parallel to.

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * (length of the third side).