Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of the third side.

Front

Define a midsegment in a triangle.

Back

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

Front

If segment AC is 10 units long, what is the length of the midsegment DE?

Back

5 units.

Front

What is the relationship between the lengths of the midsegment and the third side of a triangle?

Back

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

Front

If segment BD is 8 units long, what is the length of segment AD?

Back

8 units.

Front

What can be said about the angles formed by a midsegment and the third side of a triangle?

Back

The angles formed are equal to the angles at the vertices of the triangle.

Front

If the coordinates of points A and C are (0, 0) and (4, 0) respectively, what are the coordinates of the midpoint D?

Back

(2, 0).

Front

If segment AC is divided into two equal parts by point B, what is the length of segment AB if AC is 12 units?

Back

6 units.

Front

What is the significance of the Midsegment Theorem in triangle similarity?

Back

The Midsegment Theorem helps establish that triangles formed by midsegments are similar to the original triangle.

Front

If angle SUP measures 55 degrees, what can be inferred about angle SUT if segment UT is a midsegment?

Back

Angle SUT also measures 55 degrees.