Performing and using constructions involving circles

The center of a circumscribed circle.

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CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Neither
• Midcenter

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CCSS.HSG.C.A.3

Which of the following words describes the point shown in the figure?

• Centerpoint
• Orthocenter
• Centroid
• Altitude-point

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CCSS.HSG.C.A.3

Given:  AG=3x+10 and BG= 5x-2, what is CG?

• 6
• 28
• 4
• 18

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CCSS.HSG.C.A.3

1.  Point Z is the circumcenter of ΔRST. What is TZ?

• 3
• 5
• 4
• 6

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CCSS.HSG.C.A.3

Which point of concurrency is the intersection of the perpendicular bisectors of the triangle?

• Centroid

• Incenter

• Orthocenter

• Circumcenter

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CCSS.HSG.C.A.3

D is the circumcenter, find DG

• 15
• 16
• 17
• 19

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CCSS.HSG.C.A.3

Which point of concurrency is equidistant from every vertex?

• Centroid

• Circumcenter

• Orthocenter

• Incenter

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CCSS.HSG.C.A.3

DG, EG, and FG are the perpendicular bisectors of ∆ABC. Find GC.

• 7.3

• 16.8

• 13.4

• 14.6

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CCSS.HSG.C.A.3

Y is the circumcenter of triangle STU. What is the length of SU?

• 18

• 22

• 26

• 28

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CCSS.HSG.C.A.3