AnswersGeometry - Semester 1 PathwaysIncenter and Circumcenter

Incenter and Circumcenter Answers

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1
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Which statements must be true regarding the diagram?

A
BG ≅ AG
B
DG ≅ FG
C
DG ≅ BG
D
GE bisects ∠DEF
E
GA bisects ∠BAF
2
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What did you include in your response? Check all that apply.

A
The tower needs to be equidistant from the vertices of the triangle.
B
The tower should be placed at the circumcenter of the triangle.
C
To find the circumcenter, find the intersection point of the three perpendicular bisectors of the triangle.
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Where do the points of concurrency of certain types of triangles lie?

Answers:
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
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insideonoutside

A
inside
B
on
C
outside
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insideonoutside

A
inside
B
on
C
outside
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insideonoutside

A
inside
B
on
C
outside

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