Incenter and Circumcenter

Question 1

Which statements must be true regarding the diagram?

Revolt · Accepted Answer

DG ≅ FG; DG ≅ BG; GE bisects ∠DEF; GA bisects ∠BAF

Question 2

Which statements must be true regarding the diagram?

Revolt · Accepted Answer

∠HDC ≅ ∠HDE; AB ≅ BC; HC ≅ HE

Question 3

What is SU?

Revolt · Accepted Answer

SU = 5

Question 4

Where do the points of concurrency of certain types of triangles lie?

Revolt · Accepted Answer

✔ outside; The circumcenter of an obtuse triangle lies the triangle.: outside; The incenter of a right triangle lies the triangle.: inside; The point of concurrency of the angle bisectors of an acute triangle lies the triangle.: inside; The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.: on

Question 5

Where do the points of concurrency of certain types of triangles lie?

Revolt · Accepted Answer

The circumcenter of an obtuse triangle lies the triangle.: outside; The incenter of a right triangle lies the triangle.: inside; The point of concurrency of the angle bisectors of an acute triangle lies the triangle.: inside; The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.: on

Question 6

✔ insideonoutside

Revolt · Accepted Answer

✔ inside

Question 7

✔ insideonoutside

Revolt · Accepted Answer

✔ inside

Question 8

inside✔ onoutside

Revolt · Accepted Answer

✔ on

Question 9

Which triangle shows the incenter at point A?

Revolt · Accepted Answer

[Image: Point A is inside of a triangle. Lines are drawn f...]

Question 10

What does point P represent with regard to the triangle?

Revolt · Accepted Answer

the point of concurrency of the perpendicular bisectors

Incenter and Circumcenter Answers

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