Circumcenter and Incenter

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

HSG.C.A.3

Standards-aligned

Ryan Kripp

Used 165+ times

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4 Slides • 13 Questions

Circumcenter and Incenter

By Ryan Kripp

Concurrent Lines

Three or more lines that intersect at exactly one point.
Point of concurrency - the point of intersection of three or more lines.

What is a CIRCUMCENTER?

The point of concurrency 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!

What is an INCENTER?

The point of concurrency created by the 3 angle bisectors.

They all meet at the INCENTER.

The Incenter is EQUIDISTANT from the sides of the Triangle

Notice: The circle is INside.

Multiple Choice

The CIRCUMCENTER is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

Multiple Choice

The INCENTER is the intersection of which special segments?

Angle Bisectors

Perpendicular Bisectors

Medians

Altitudes

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

[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

Which point is equidistant from the vertices?

Circumcenter

Incenter

Neither

Bilateral

Multiple Choice

Name the point of concurrency shown.

Circumcenter

Incenter

Supercenter

Neither

Multiple Choice

Point P is the circumcenter, which segment is equal to PB

Multiple Choice

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

8.95

9.35

10.25

12.65

Multiple Choice

P is the incenter of triangle JKL. Find OP.

Circumcenter and Incenter

By Ryan Kripp

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