IXL - Construct the 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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question

is perpendicular to

and

is perpendicular to

Mark the orthocenter of

△

Undo

Redo

Point

Segment

Ray

Line

Circle

Delete

key idea

An altitude of a triangle is a segment from a vertex to the line containing its opposite side, and is perpendicular to that line.

The point where the lines containing a triangle's three altitudes intersect is called the

orthocenter.

To construct the orthocenter, it is sufficient to find the intersection of the lines containing two altitudes, since the line containing the third altitude will also pass through that point.

solution

To construct the orthocenter of

△

carry out the following step:

Mark the orthocenter.

Mark the point where
line
C
D
and
line
A
E
intersect. Call it
F
.

Since

is perpendicular to

it is the line containing the altitude to

from

Also, since

is perpendicular to

it is the line containing the altitude to

from

Since

is the intersection of the lines containing two altitudes of

△

is the orthocenter of

△

$Confetti$

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Work it out

Not feeling ready yet? These can help:

B.15Construct the midpoint or perpendicular bisector of a segment

W.13Angles in inscribed right triangles

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