midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

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

Front

How many midsegments does a triangle have?

Back

A triangle has 3 midsegments.

Front

What is the relationship between a midsegment and the third side of the triangle?

Back

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

Front

If segment DE is a midsegment of triangle ABC, what can be said about segments AB and DE?

Back

Segment DE is parallel to segment AC and DE = 1/2 AC.

Front

What is the measure of a midsegment if the third side of the triangle measures 20 units?

Back

The midsegment will measure 10 units.

Front

In triangle XYZ, if XY = 12 units and YZ = 16 units, what is the length of the midsegment connecting X and Y?

Back

The length of the midsegment connecting X and Y is 12 units.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If a triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment parallel to the side of length 12?

Back

The length of the midsegment is 6 units.

Front

What is the definition of a median in a triangle?

Back

A median is a segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

How does a midsegment differ from a median?

Back

A midsegment connects midpoints of two sides, while a median connects a vertex to the midpoint of the opposite side.