HOMEWORK 1: MIDSEGMENT OF A TRIANGLE APPLICATION

Front

What is the Midsegment of a Triangle?

Back

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

Front

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

Back

DF = 21 (DF is half the length of AC).

Front

How do you find the length of a side using the Midsegment Theorem?

Back

The length of the midsegment is half the length of the third side of the triangle.

Front

What is the Midsegment Theorem?

Back

The theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Front

If AB = 34, what is the length of the midsegment connecting the midpoints of AC and BC?

Back

17 (The midsegment is half of AB).

Front

What is the relationship between the angles formed by a midsegment and the angles of the triangle?

Back

The angles formed by the midsegment are equal to the angles of the triangle.

Front

If the midsegment of a triangle is 12, what is the length of the side it is parallel to?

Back

24 (The side is twice the length of the midsegment).

Front

What is the measure of angle a if it is formed by the intersection of a midsegment and a side of the triangle?

Back

Angle a is equal to the corresponding angle of the triangle.

Front

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

Back

12 (The midsegment cannot exceed half the length of the longest side).

Front

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

Back

By averaging the coordinates of the endpoints of each side.