Triangle Altitudes and Medians

This video tutorial covers special segments in triangles, including medians, midsegments, and altitudes. It explains how medians connect a vertex to the midpoint of the opposite side, midsegments connect midpoints of two sides, and altitudes are perpendicular segments from a vertex to the opposite side. The video also discusses how altitudes behave differently in acute, right, and obtuse triangles, emphasizing the unique properties of each triangle type.

What is a median in a triangle?

• A segment connecting two midpoints

• A segment connecting two vertices

• A segment connecting a vertex to the midpoint of the opposite side

• A perpendicular segment from a vertex to the opposite side

How many medians can be found in a triangle?

• Four

• Three

• Two

• One

What is a midsegment in a triangle?

• A segment connecting two vertices

• A segment connecting a vertex to the midpoint of the opposite side

• A segment connecting the midpoints of two sides

• A perpendicular segment from a vertex to the opposite side

Which of the following is true about a midsegment?

• It is always parallel to one side of the triangle

• It is always perpendicular to one side of the triangle

• It is always equal in length to one side of the triangle

• It is always the longest segment in the triangle

What is an altitude in a triangle?

• A segment connecting two midpoints

• A segment connecting a vertex to the midpoint of the opposite side

• A segment connecting two vertices

• A perpendicular segment from a vertex to the opposite side or its extension

What is the length of an altitude known as?

• The midsegment

• The median

• The height

• The base

Where are the altitudes located in an acute triangle?

• All on the exterior

• All on the interior

• One on the interior, two on the exterior

• Two on the interior, one on the exterior

In a right triangle, where does the altitude from the right angle intersect?

• The base

• The hypotenuse

• The opposite side

• The adjacent side

In a right triangle, what is unique about the altitude from a vertex that forms a leg?

• It is the median

• It is the hypotenuse

• It is the base

• It is the same as the leg

What is challenging about altitudes in obtuse triangles?

• All altitudes are on the interior

• One altitude is on the exterior

• All altitudes are on the exterior

• Two altitudes are on the exterior