Geometric Construction of Centers

What is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

• are equal

• are NOT equal

• sum to 45°

• sum to 30°

Take a guess! Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

The place where all three angle bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Match the following Centers of Triangles

• Medians

• Incenter is created by:

• Perpendicular Bisectors

• Centroid is created by:

• Angle Bisectors

• Circumcenter is created by:

What must be true?

• 1

• 2

• 3

• 4

• 1
• 2
• 3
• 4

Select the best answer choice.

• A

• B

• C

• D