HOMEWORK 1: MIDSEGMENT OF A TRIANGLE APPLICATION

Front

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

Back

side parallel

Front

If AC=42, find DF.

Back

DF = 21

Front

What is the measure of angle Y if the triangle has angles of 40, 60, and Y?

Back

Y = 140

Front

Identify the parallel segment in triangle XYZ.

Back

WX

Front

Find the missing length: If the midsegment is x, and the corresponding side is 30, what is x?

Back

x = 15

Front

Define a midsegment in a triangle.

Back

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

Front

What is the relationship between a triangle's midsegment and its sides?

Back

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

Front

If the midsegment of a triangle is 10, what is the length of the side it is parallel to?

Back

20

Front

How do you find the length of a midsegment in a triangle?

Back

Measure the lengths of the two sides it connects and use the formula: Midsegment = (Side1 + Side2) / 2.

Front

What is the significance of the midsegment in triangle similarity?

Back

The midsegment creates two smaller triangles that are similar to the original triangle.