7.5 Proportional Segments

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

What is the relationship between a midsegment and the sides of a triangle?

Back

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

Front

If AB is a midsegment and its length is 17, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 34, since the midsegment is half the length of that side.

Front

In a triangle, if one midsegment measures 5, what can you say about the sides it connects?

Back

The sides it connects are each 10 units long, as the midsegment is half the length of the side it is parallel to.

Front

What is the formula to calculate the length of a midsegment given the lengths of the two sides it connects?

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

If ED is a midsegment and the length of AB is 16, what is the length of the side parallel to ED?

Back

The length of the side parallel to ED is 32, as the midsegment is half the length of that side.

Front

How can you determine the value of x in a triangle when given a midsegment?

Back

You can set up an equation based on the properties of midsegments and the lengths of the sides they connect, then solve for x.

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding the relationships between the sides of a triangle and can be used to solve various geometric problems.

Front

If a midsegment is shown in a triangle, what information can you derive from it?

Back

You can derive the lengths of the sides it connects, the length of the side it is parallel to, and use it to solve for unknown variables.