Triangle Midsegment / Proportionality

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle and is parallel to the third side.

Front

What is the relationship between the lengths of a midsegment and the side it is parallel to?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

If segment QR is a midsegment of triangle WUV, and segment WU is 16 units long, what is the length of segment QR?

Back

8 units.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

If segment BD is 10 units long, what is the length of segment AD if segment AD is a midsegment?

Back

Segment AD is also 10 units long.

Front

What is the significance of the midsegment theorem?

Back

The 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

In triangle ABC, if segment MN is a midsegment, which sides does it connect?

Back

Segment MN connects the midpoints of sides AB and AC.

Front

If triangle DEF has a midsegment GH, and GH is 5 units long, what is the length of side EF?

Back

Side EF is 10 units long.

Front

What is the definition of proportionality in the context of triangles?

Back

Proportionality in triangles refers to the relationship where the ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If two triangles are similar, and the length of one side of the first triangle is 4 units while the corresponding side of the second triangle is 8 units, what is the ratio of their similarity?

Back

The ratio of their similarity is 1:2.