HOMEWORK 1: MIDSEGMENT OF A TRIANGLE APPLICATION

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

How does the length of a midsegment compare to the lengths of the sides of the triangle?

Back

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

Front

If segment DE is a midsegment of triangle ABC, what can be said about the lengths of DE and AC?

Back

DE is equal to half the length of AC.

Front

What is the relationship between the midsegment and the triangle's area?

Back

The area of the triangle formed by the midsegment and the two vertices of the triangle is one-half the area of the original triangle.

Front

If the lengths of sides AB and AC are 10 and 14 respectively, what is the length of the midsegment connecting the midpoints of AB and AC?

Back

The length of the midsegment is 7.

Front

What is the significance of the midsegment in triangle similarity?

Back

The midsegment creates a smaller triangle that is similar to the original triangle.

Front

If a triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment connecting the midpoints of the sides of lengths 8 and 10?

Back

The length of the midsegment is 6.

Front

What is the formula to find the length of a midsegment in a triangle?

Back

Length of midsegment = (Length of the third side) / 2.

Front

In triangle XYZ, if XY = 12 and XZ = 16, what is the length of the midsegment connecting the midpoints of XY and XZ?

Back

The length of the midsegment is 8.

Front

What type of triangle is formed by the midsegment and the two vertices of the original triangle?

Back

A triangle that is similar to the original triangle.