5-3 CW- 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 the third side.

Front

If QR is a midsegment of triangle FGH, what can be said about the lengths of QR and side GH?

Back

QR is half the length of side GH.

Front

In triangle WXY, if QR is a midsegment, and QR = 6, what is the length of WY?

Back

WY = 12, since QR is half the length of WY.

Front

If BD = 16, EA = 5, and FC = 3, how do you find the perimeter of triangle ABC?

Back

Add all sides: Perimeter = AB + BC + CA = BD + EA + FC = 16 + 5 + 3 = 24.

Front

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

Back

Midsegments are always half the length of the side they are parallel to.

Front

If segment AC is 10 units long, what is the length of the midsegment DE?

Back

DE = 5 units, since DE is half the length of AC.

Front

How do you identify a midsegment in a triangle?

Back

A midsegment connects the midpoints of two sides of the triangle.

Front

If x = 3 in a triangle problem, what does this typically represent?

Back

x often represents a length or a variable in a geometric equation.

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, such as similarity and proportionality.

Front

If segment QR is a midsegment and is 5.5 units long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 11 units.