Geometry: Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Front

Define a midsegment in a triangle.

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If DE is a midsegment of triangle ABC, what is the relationship between DE and side BC?

Back

DE is parallel to BC and DE = 1/2 BC.

Front

In triangle GHI, if TS is a midsegment and GH = 16, what is the length of TS?

Back

TS = 1/2 * GH = 1/2 * 16 = 8.

Front

If QR is a midsegment of triangle FGH and FG = 22, what is the length of QR?

Back

QR = 1/2 * FG = 1/2 * 22 = 11.

Front

What can be concluded if a line segment is a midsegment of a triangle?

Back

It is parallel to one side of the triangle and its length is half of that side.

Front

If the length of side ML is 18, what is the length of the midsegment IJ in triangle MLN?

Back

IJ = 1/2 * ML = 1/2 * 18 = 9.

Front

In triangle ABC, if AB = 10 and DE is a midsegment, what is the length of DE?

Back

DE = 1/2 * AB = 1/2 * 10 = 5.

Front

If the angles of triangle GHI are 60°, 40°, and 80°, what is the measure of angle Y if it is opposite the longest side?

Back

Angle Y = 140°.

Front

What is the significance of the midsegment in triangle properties?

Back

Midsegments help in understanding triangle similarity and proportionality.