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

What is the relationship between the length of a midsegment and the lengths of the sides it connects?

Back

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

Front

If AC = 42, what is the length of the midsegment DF?

Back

DF = 21.

Front

A midsegment of a scalene triangle has a length of 12 in. What is the length of its corresponding side?

Back

The corresponding side is 24 inches.

Front

What is the formula to find the length of the opposite side using the midsegment?

Back

The formula is: 2(midsegment) = opposite side.

Front

If the midsegment of a triangle is represented as 5x - 1, how do you find the value of x?

Back

Set up the equation: 2(5x - 1) = opposite side, then solve for x.

Front

What is the length of a midsegment if the corresponding side is 30 inches?

Back

The length of the midsegment is 15 inches.

Front

If segment BD is equal to segment DE, what can be said about their lengths?

Back

Segment BD and segment DE are congruent.

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

How do you determine the midpoints of a triangle's sides?

Back

The midpoint is found by averaging the coordinates of the endpoints of the segment.