IXL - Construct the centroid or orthocenter of a triangle (Geometry practice)

is perpendicular to

and

is perpendicular to

Mark the orthocenter of

△

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Point

Segment

Ray

Line

Circle

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Learn with an example

question

and

are medians of

△

Mark the centroid of

△

Undo

Redo

Point

Segment

Ray

Line

Circle

Delete

key idea

The point where a triangle's three medians intersect is called the

centroid.

A median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

To construct the centroid, it is sufficient to find the intersection of two medians, since the third median will also pass through this point.

solution

To construct the centroid of

△

carry out the following step:

Mark the centroid.

Mark the point where
segment
C
E
and
segment
B
D
intersect. Call it
F
.

Since

is the intersection of two medians of

△

is the centroid of

△

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N.3Identify medians, altitudes, angle bisectors, and perpendicular bisectors

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