Circumcenter of Triangles

The circumcenter is the point at which all the ______ of a triangle meet.

• perpendicular bisectors

• angle bisectors

• medians

• altitudes

What is the special property for circumcenters?

• The circumcenter is equally distant to the sides of the triangle.

• The circumcenter is equally distant to the midpoint of the sides of the triangle.

• The circumcenter is at the center of the triangle.

• The circumcenter is equally distant to the vertices.

The example from the video is shown. What is the measure of EC?

• 6

• 12

• 15

• 20

The example from the video is shown. What is the measure of GB?

• 6

• 12

• 15

• 20

The example from the video is shown. What was used to find AF?

• The Pythagorean Theorem (a²+b²=c²)

• Triangle Sum Theorem (triangle = 180)

• Definition of bisector

• Trig (SOH-CAH-TOA)

Z is the circumcenter of triangle TUV. Find TU.

• 34

• 42

• 30

• 38

Z is the circumcenter of triangle TUV. Find VY.

• 17

• 15

• 19

• 21

Z is the circumcenter of triangle TUV. Find UZ.

• 17

• 15

• 19

• 21

Z is the circumcenter of triangle TUV. Find TZ.

• 24

• 15

• 21

• 17

Z is the circumcenter of triangle TUV. Find WV.

Hint: you will have to use pythagorean theorem

• 12.6

• 13.9

• 14.7

• 16.4