Circumcenter of a Triangle

Mathematical Equivalence

ON

Answer explanation

Circumcenters are equidistant to the vertices of the triangle, so the segments that go from the circumcenter to the vertices are congruent.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.8

Define: CIRCUMCENTER OF A TRAINGLE

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

• when a circle passes through the three vertices of a triangle 

• the point of intersection of three or more lines 

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

Tags

CCSS.HSG.C.A.3

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

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

• 3

• 5

• 4

• 6

Tags

CCSS.HSG.C.A.3

Point O is the circumcenter of the triangle. Find OB

• OB = 4

• OB = 6

• OB = 5.1

• Not enough information

Tags

CCSS.HSG.C.A.3

If point P is the circumcenter, which segment is congruent to PB?

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

If G is the circumcenter, what type of segments are drawn?

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

Tags

CCSS.HSG.C.A.3

D is the circumcenter, find ED

• 15

• 16

• 17

• 19

Tags

CCSS.HSG.C.A.3

Which of the images represents the Circumcenter of a Triangle

• First

• Second

• Third

Tags

CCSS.HSG.C.A.3

If G is the circumcenter, what type of segments are drawn?

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

Tags

CCSS.HSG.C.A.3