Geometry E-Learning Day 11/15: Incenter and Circumcenter

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle

• the midpoint of a side of a triangle

• the intersection point of the three angle bisectors of a triangle

Tags

CCSS.HSG.C.A.3

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle

• the midpoint of a side of a triangle

• the intersection point of the three perpendicular bisectors of a triangle

Tags

CCSS.HSG.C.A.3

Which point is equidistant from the vertices (meaning the distance from this point to each vertex of the triangle is the same)

• Circumcenter

• Incenter

• Neither circumcenter nor incenter

• Both circumcenter and incenter

Tags

CCSS.HSG.C.A.3

Which point is equidistant from the sides? (meaning if you draw perpendicular segments from this point to each side of the triangle, the segments are all equal)

• Circumcenter

• Incenter

• Neither circumcenter nor incenter

• Both circumcenter and incenter

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter - because the perpendicular bisectors interesect here

• Incenter - because the angle bisectors intersect here

• Neither circumcenter nor incenter

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter - because the perpendicular bisectors intersect here

• Incenter - because the angle bisectors intersect here.

• Neither

Tags

CCSS.HSG.C.A.3

The figure shows an example of a(n) ...

• angle bisector

• perpendicular bisector

• circumcenter

• Midpoint

Tags

CCSS.HSG.CO.C.9

The figure shows an example of a(n) ...

• incenter

• perpendicular bisector

• angle bisector

Tags

CCSS.HSG.CO.C.9

Find the length of PO.

• 32 - it is equal to NO

• 22 - it is equal to MS

• 26 - it is equal to NR

• 20 - it is equal to MQ

Tags

CCSS.HSG.C.A.3

Given: AG = 10, find the length of BG.

• 10 - same as AG

• 20 - twice as much as AG

• 5 - half as much as AG

• 30 - three times AG

Tags

CCSS.HSG.C.A.3