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 three midsegments, one for each pair of sides.

Front

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

Back

The length of a midsegment is half the length of the opposite side.

Front

If QR is a midsegment of triangle FGH, what is the formula to find the length of the opposite side?

Back

The formula is 2(midsegment) = opposite side.

Front

What segments are parallel to the sides of a triangle when a midsegment is drawn?

Back

The midsegment is parallel to the side of the triangle that is opposite to it.

Front

If the length of midsegment QR is 5.5, what is the length of the opposite side FG?

Back

The length of FG is 2 * 5.5 = 11.

Front

What is the value of y if the midsegment is 3?

Back

The opposite side will be 2 * 3 = 6.

Front

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

Back

The midsegment will be half the length of the side opposite to it, which is 12, so the midsegment is 6.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

Front

If segment NP is a midsegment, which segment is parallel to EF?

Back

Segment NP is parallel to segment EF.