Exterior Angle and Midsegment Theorem

Front

What is the Midsegment Theorem in a triangle?

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

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

Back

The length of QR is half the length of FG.

Front

In triangle GHI, if TS is a midsegment, how does it relate to sides GH and HI?

Back

TS is parallel to side GH and its length is half the length of GH.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If angle A measures 62 degrees, what is the measure of the exterior angle formed by extending side BC?

Back

The exterior angle is equal to the sum of the measures of the other two interior angles.

Front

What is the relationship between the midsegment and the triangle's area?

Back

The area of the triangle formed by the midsegment is one-fourth the area of the original triangle.

Front

If the lengths of the sides of triangle KIJ are 10, 12, and 14, what is the length of the midsegment connecting the two longer sides?

Back

The length of the midsegment is 7 (half of the length of the longest side, which is 14).

Front

In triangle FGH, if QR is a midsegment and FG = 20, what is the length of QR?

Back

The length of QR is 10 (half of 20).

Front

What is the significance of the Midsegment Theorem in solving triangle problems?

Back

It allows for easier calculations of side lengths and relationships within the triangle.