Incenter and Circumcenter Answers
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Point A is the point of concurrency of the angle bisectors of ΔDEF.
A
ZA = 3cmB
ZA = 4cmC
ZA = 5cmD
ZA = 6cm2
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Point G is the incenter of the triangle.
A
4B
8C
24D
323
The figure shows a circle circumscribed around a triangle.
A
perpendicular segments to the vertices of the triangleB
perpendicular bisectors of the sides of the triangleC
angle bisectors of each angle of the triangleD
the incenter of the triangle4
Point A is the incenter of ΔDEF.
A
7B
11C
14D
155
Point O is the incenter of triangle ABC.
A
30°B
60°C
75°D
90°6
In the diagram, Z is the circumcenter of triangle TUV.
A
2 unitsB
6 unitsC
8 unitsD
10 units7
The figure shows a circle inscribed in a triangle.
A
A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle.B
A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle.C
Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.D
Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.8
Point A is the incenter of ΔDEF.
A
2 unitsB
9 unitsC
11 unitsD
14 units9
Which is the only center point that lies on the edge of a triangle?
A
the incenter of a right triangleB
the incenter of an obtuse triangleC
the circumcenter of a right triangleD
the circumcenter of an obtuse triangle10
Which must be true? Select three options
A
Point A is the center of the circle that passes through points D, E, and F.B
Point A is the center of the circle that passes through points X, Y, and Z.C
Line segment Z A is-congruent-to line segment Y A
D
Line segment E A is-congruent-to line segment F A
E
Line segment A X is-congruent-to line segment A Y
11
Point Y is the circumcenter of triangle DEF.
A
Point Y is the center of the circle that passes through points D, F, and N.B
Point Y is the center of the circle that passes through points M, N, and E.C
Point Y is the center of the circle that passes through points L, M, and N.D
Point Y is the center of the circle that passes through points D, E, and F.12
Point X is the circumcenter of ΔABC.
A
1.5 cmB
2 cmC
2.5 cmD
3 cmDid you find these answers helpful?
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