Centers of Triangles and Triangle Inequality

If Z is the centroid, what type of segments are drawn?

• angle bisectors

• perpendicular bisectors

• altitudes

• medians

Tags

CCSS.HSG.CO.C.10

If JL = 22, then FL = 

• 14.7

• 11

• 7.3

• 33

Tags

CCSS.HSG.CO.C.10

If DL = 24, then DG = 

• 16

• 8

• 12

• 36

Tags

CCSS.HSG.CO.C.10

The altitudes of a triangle are concurrent. Their common point is the______.

• Centroid

• Incenter

• Orthocenter

• Circumcenter

Tags

CCSS.HSG.CO.C.10

Joshua is constructing a triangle with a circle inscribed in it. Each vertex of the triangle will have a line passing through it bisecting the angle. No matter where he places the third vertex, the following conditions will be true: • Each line will always bisect its corresponding vertex angle. • The three lines will always intersect at the center of the circle. • The circle will always be inscribed in the triangle. Which type of center​ (a)   exists where the three lines intersect?

• INCENTER

• CENTROID

• CIRCUMCENTER

• MIDPOINT

Tags

CCSS.HSG.C.A.3

The altitudes of a triangle intersect at the ​ ​ ​ (a)  

• orthocenter.

• circumcenter.

• incenter.

• centroid.

Tags

CCSS.HSG.CO.C.10

The ​ (a)   of a triangle intersect at the incenter.

• Perpendicular bisectors

• angle bisectors

• medians

• altitudes

The point of concurrency of the ​ (a)   of a triangle is called the incenter.

• angle bisectors

• medians

• points of concurrency

• perpendicular bisectors

Tags

CCSS.HSG.C.A.3

Match the following

• medians

• circumcenter

• perpendicular bisectors

• orthocenter

• angle bisectors

• incenter

• altitudes

• centroid

Tags

CCSS.HSG.C.A.3

Where is the orthocenter and the circumcenter?​

• right angle

• the orthocenter is on the...

• midpoint of the hypotenuse

• the circumcenter is on the...

• (2,-3)

• the coordinates of the orthocenter

• (-1,0)

• the coordinates of the circumcenter

Tags

CCSS.HSG.C.A.3