Centroids and Orthocenters

Presentation

•

Mathematics

•

9th - 11th Grade

•

Hard

Joseph Anderson

FREE Resource

8 Slides • 16 Questions

Centers of Triangles Review with Test

Geometry Honors

Ms. Hogan

Good Luck!

Quick Special Lines of Triangle Review

Test Grade - 1st attempt graded only

Multiple Choice

The CENTROID is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

What is a CENTROID?

Medians will only BISECT each side.

When they meet, you get the CENTROID.

Multiple Choice

The ORTHOCENTER is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

What is an ORTHOCENTER?

Altitudes are ONLY PERPENDICULAR.

The altitudes are the HIEGHT of the triangle.

They meet at the ORTHOCENTER.

Multiple Choice

The INCENTER is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

What is an INCENTER?

Each dashed line is an ANGLE BISECTOR. It only cuts the ANGLE.

They all meet at the INCENTER.

Notice: The circle is INside.

Multiple Choice

The CIRCUMCENTER is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

What is a CIRCUMCENTER?

This is created by the 3 perpendicular bisectors.

Notice: Each vertex of the triangle is EQUIDISTANT from the circumcenter.

Why is that?! They are the RADIUS of the outside circle!

Show me what you really know!

Multiple Choice

Which center of a triangle is shown in the picture below?

Circumcenter

Orthocenter

Incenter

Centroid

Multiple Choice

Which center of a triangle is shown in the picture below?

Circumcenter

Orthocenter

Incenter

Centroid

Multiple Choice

Which center of a triangle is shown in the picture below?

Circumcenter

Orthocenter

Incenter

Centroid

Multiple Choice

Which center of a triangle is shown in the picture below?

Circumcenter

Orthocenter

Incenter

Centroid

Multiple Choice

[Medians and Centroid]
If AC = 16, what is AM?

Multiple Choice

[Median and Centroid]
If AP = 12, what is AL?

Multiple Choice

[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?

Multiple Choice

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

Multiple Choice

Find the value of x

x=28

x=14

x=23

x=46

Multiple Choice

Point O is the circumcenter of the triangle. Find OB

OB = 4

OB = 6

OB = 5.1

Not enough information

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

Poll

How do you feel about this topic?

Great Job!

Complete HMH Activities for L8.1 - L8.4 for Classwork/Homework

Some text here about the topic of discussion

Centers of Triangles Review with Test

Geometry Honors

Ms. Hogan

Good Luck!

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