Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of that side.

Front

If DE is a midsegment of triangle ABC, what can be said about its length compared to BC?

Back

DE is half the length of BC.

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

If segment DE is a midsegment of triangle ABC, which segments are parallel?

Back

Segment DE is parallel to segment AC.

Front

If segment DE is half the length of segment BC, what is the relationship between DE and BC?

Back

DE = 1/2 * BC.

Front

In triangle FGH, if QR is a midsegment, what can be inferred about segments FG and QR?

Back

Segment QR is parallel to segment FG.

Front

If segment BD is equal to segment AD, what can be concluded about point D?

Back

Point D is the midpoint of segment AB.

Front

What is the significance of midpoints in the Midsegment Theorem?

Back

Midpoints are crucial as the midsegment connects them, ensuring the properties of parallelism and proportionality.

Front

If segment AC is 20 units long, what is the length of segment DE if DE is a midsegment?

Back

Segment DE would be 10 units long.

Front

How do you find the length of a midsegment if the lengths of the sides of the triangle are known?

Back

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