Lecture 5.2 - Medians & Altitudes of Triangles

5.2 - Medians & Altitudes of Triangles

a segment with endpoints being a vertex of a triangle and the midpoint of the opposite side

Median

point of concurrency of the medians of a triangle

Centroid

Multiple Choice

The centroid is the point of concurrency of the 3 ____ of a triangle. 

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

Multiple Choice

If Z is the centroid, what type of segments are drawn?

• angle bisectors
• perpendicular bisectors
• altitudes
• medians

Multiple Choice

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third
• two thirds
• three fourths
• one half

Multiple Choice

The figure is an example of a(n) ...

• angle bisector
• midsegment
• altitude
• median

Multiple Select

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

• Orthocenter

• Incenter

• Centroid

• Circumcenter

segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side

Altitude

the point of concurrency of the altitudes of a triangle

Orthocenter

Multiple Choice

The three altitudes of a triangle intersect at the?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Multiple Choice

What type of special segments are being used?

• Perpendicular Bisectors

• Angle Bisectors

• Medians

• Altitudes

Multiple Choice

What is the point of concurrency?

• Orthocenter

• Centroid

• Circumcenter

• Incenter

Multiple Choice

The altitude is __________to the side of a triangle.

• parallel
• skew
• off
• perpendicular

Multiple Choice

17.  What type of line is shown by CD

• Altitude
• perpendicular bisector
• median
• angle bisector

Multiple Choice

If a triangle is acute, where is its orthocenter located?

• inside

• outside

• on the right angle

• cannot be located

Multiple Choice

If a triangle is obtuse, where is its orthocenter located?

• inside

• outside

• on the right angle

• cannot be located

Multiple Choice

If a triangle is right, where is its orthocenter located?

• inside

• outside

• on the right angle

• cannot be located

Multiple Choice

What is special about the orthocenter?

• it is equidistant to the vertices

• it is equidistant to the sides

• a 2:1 ratio exists on each median

• NOTHING, BUT THAT'S WHAT MAKES IT SPECIAL 🥹