WK 19 GEO HW 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 TS is a midsegment of triangle GHI, what can be said about the lengths of TS and side GH?

Back

TS is half the length of side GH.

Front

How many midsegments can be found in a triangle?

Back

A triangle has three midsegments, one for each pair of sides.

Front

What is the relationship between midsegments and the sides of a triangle?

Back

Midsegments are parallel to one side of the triangle and are half the length of that side.

Front

If segment BD is equal in length to which other segment in triangle GHI?

Back

Segment AD.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

Front

Complete the statement: The midsegment of a triangle is half the length of the ___ ____ to it.

Back

side parallel.

Front

If segment EF is a side of triangle GHI, what can be said about the midsegment parallel to EF?

Back

The midsegment is parallel to EF and its length is half of EF.

Front

What is the formula to find the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * Length of the parallel side.