Lecture 5.2 - Medians & Altitudes of Triangles

Presentation

•

Mathematics

•

8th Grade

•

Easy

•

CCSS

HSG.CO.C.10, HSG.C.A.3

Standards-aligned

Gabe Geering

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8 Slides • 14 Questions

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 🥹

5.2 - Medians & Altitudes of Triangles

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