HOMEWORK 1: MIDSEGMENT OF A TRIANGLE APPLICATION

Front

Segment DE is ____________.

Back

a midsegment.

Front

Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.

Back

side parallel.

Front

Name the parallel segment.

Back

WX.

Front

Find the missing length: If the midsegment is 9, what is the length of the side parallel to it?

Back

18.

Front

Find x: If the midsegment is 13, what is the value of x?

Back

x = 13.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle.

Front

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

Back

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

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment?

Back

7.

Front

How do you find the length of a midsegment?

Back

By averaging the lengths of the two sides it connects.

Front

What is the significance of the midsegment in triangle geometry?

Back

It helps in understanding triangle similarity and proportionality.