Properties of Midsegments in Triangles

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

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

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

Tags

CCSS.HSG.SRT.B.4

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

• 25

• 50

• 75

• 100

Tags

CCSS.HSG.SRT.B.4

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

• 35

• 70

• 105

• 140

Tags

CCSS.HSG.SRT.B.4

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

• 75

• 150

• 225

• 300

Tags

CCSS.HSG.SRT.B.4

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

Tags

CCSS.HSG.SRT.B.4

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

Tags

CCSS.HSG.SRT.B.4