Midsegments in Triangles

What is the definition of a midsegment of a triangle?

• A line segment connecting the midpoints of two sides of a triangle

• A line segment connecting the vertices of a triangle

• A line segment connecting the midpoints of a quadrilateral

• A line segment connecting the midpoints of a polygon

What is the objective of the lesson 5-4?

• To learn about the properties of circles

• To understand the properties of midsegments in triangles

• To study the properties of quadrilaterals

• To explore the properties of polygons

According to the Triangle Midsegment Theorem, what is true about the midsegment of a triangle?

• It is parallel to one of the sides of the triangle and half as long

• It is perpendicular to one of the sides of the triangle and twice as long

• It is parallel to one of the sides of the triangle and twice as long

• It is perpendicular to one of the sides of the triangle and half as long

In the given example, if DE is the midsegment, what is the length of DE if AB = 50?

• 25

• 50

• 75

• 100

In the given example, if DE is the midsegment, what is the length of DE if AB = 70?

• 35

• 70

• 105

• 140

In the given example, if DE is the midsegment, what is the length of DE if AB = 150?

• 75

• 150

• 225

• 300

What is the formula for the length of the midsegment DE if AB is the base of the triangle?

• DE = 1/2 AB

• DE = 2 AB

• DE = AB

• DE = 3/2 AB

Which of the following is NOT a property of the midsegment of a triangle?

• It is parallel to one of the sides of the triangle

• It is half the length of one of the sides of the triangle

• It bisects the angle of the triangle

• It connects the midpoints of two sides of the triangle

If the midsegment DE is parallel to side AB, what can be said about the angles formed by DE and AB?

• They are congruent

• They are supplementary

• They are complementary

• They are right angles

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

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

• The midsegment is perpendicular to the third side and half its length

• The midsegment is parallel to the third side and twice its length

• The midsegment is perpendicular to the third side and twice its length