Midsegment of a Triangle

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

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

Back

The midsegment is parallel to the third side and its length is half the length of the third side.

Front

If GH is a midsegment of triangle FGH, what is the relationship between GH and DF?

Back

GH = 1/2 DF.

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

The length of the midsegment can be found by averaging the lengths of the two sides it connects.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If QR is a midsegment of triangle FGH, how can you express the lengths of the sides of triangle FGH in terms of QR?

Back

The lengths of the sides of triangle FGH can be expressed as twice the length of QR.

Front

What is the measure of angle a if it is given that angle a is supplementary to angle b, which measures 100 degrees?

Back

Angle a measures 80 degrees.

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, the alternate interior angles are equal.

Front

If TS is a midsegment of triangle GHI, how do you solve for x if TS = 2x + 4 and HI = 3x + 2?

Back

Set 2x + 4 = 1/2(3x + 2) and solve for x.

Front

What is the definition of a triangle's centroid?

Back

The centroid is the point where the three medians of the triangle intersect.