Special Centers of Triangles

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

The circumcenter and orthocenter can be outside the triangle if the triangle is ...

• obtuse

• acute

• iscolese

• right

Tags

CCSS.HSG.C.A.3

The ORTHOCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Tags

CCSS.HSG.C.A.3

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

• angle bisector

• altitude

• altitude

• median

Tags

CCSS.HSG.CO.C.10

Which of the following describes a median of a triangle?

• A segment that is perpendicular to the side of a triangle at its midpoint.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

Name the segment/line/ray shown in the picture.

• Perpendicular Bisector

• Angle Bisector

• Median

• Altitude

Tags

CCSS.HSG.CO.C.10

The Smith Construction Company has been hired to install a new water fountain at Winstonian Park. They would like to find the best location for the fountain so that the walking distance from each of the three main pieces of playground equipment is the same. How would they determine this point?

• Incenter

• Circumcenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

Under a Government’s scheme, new concrete roads are been constructed in your village. There are total of three roads together forming the shape of a triangle surrounding your village. Sensing a business opportunity, you want to open a small hotel somewhere inside this triangle formed by the roads. You would want to setup your business at a spot from where it can attract customers from all sides (roads) and must be equally reachable to people from all sides.

• Incenter

• Circumcenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

You need to supply electric power to three transformers, one on each of three roads enclosing a large triangular tract of land. Each transformer should be the same distance from the power-generation plant and as close to the plant as possible. Where should you build the power plant, and where should you locate each transformer?

• Incenter

• Circumcenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

You are a sculptor and have just completed a large metal mobile. You want to hang this mobile, made of a flat triangular metal plate, in the State Capitol. This triangular piece will hang so that it will be suspended with the triangular surface parallel to the ground. How would you locate the point where the mobile will balance?

• Incenter

• Circumcenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3