Circumcenter of Triangle

Mathematical Equivalence

ON

Answer explanation

Circumcenter is equidistant to the vertices of the triangle. You will solve for x first, then use the Pythagorean Theorem to find the length of QP.

Tags

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

What is the circumcenter of a triangle?

• The point where the altitudes of the triangle intersect.

• The point where the angle bisectors of the triangle intersect.

• The point where the medians of the triangle intersect.

• The point where the perpendicular bisectors of the sides of the triangle intersect.

Tags

CCSS.HSG.C.A.3

Which of the following is a property of the circumcenter of a triangle?

• It is the intersection of the triangle's medians.

• It is equidistant from the three vertices of the triangle.

• It is the midpoint of the triangle's longest side.

• It is located outside the triangle.

Tags

CCSS.HSG.C.A.3

How many perpendicular bisectors of the sides of a triangle are needed to find the circumcenter?

• 4

• 2

• 3

• 1

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

Point P is the circumcenter, which segment is equal 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

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

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

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