Incenter and Circumcenter Answers

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Point G is the incenter of the triangle.

Question illustration
A
4
B
8
C
24
D
32
2
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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
Option C
D
Line segment E A is-congruent-to line segment F A
Option D
E
Line segment A X is-congruent-to line segment A Y
Option E
3

In the diagram, Z is the circumcenter of triangle TUV.

Question illustration
A
2 units
B
6 units
C
8 units
D
10 units
4

Point A is the point of concurrency of the angle bisectors of ΔDEF.

Question illustration
A
ZA = 3cm
B
ZA = 4cm
C
ZA = 5cm
D
ZA = 6cm
5

Point A is the incenter of ΔDEF.

Question illustration
A
2 units
B
9 units
C
11 units
D
14 units
6

Point Z is the incenter of triangle RST.

Question illustration
A
x = 2
B
x = 3
C
x = 5
D
x = 8
7

Point H is the circumcenter of ΔJKL.

Question illustration
A
Line segment F H is-congruent-to line segment D H
Option A
B
Line segment J F is-congruent-to line segment L H
Option B
C
Line segment J H is-congruent-to line segment L H
Option C
D
Line segment K F is-congruent-to line segment L D
Option D
8

Point Y is the circumcenter of triangle DEF.

Question illustration
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.
9

Which is the only center point that lies on the edge of a triangle?

A
the incenter of a right triangle
B
the incenter of an obtuse triangle
C
the circumcenter of a right triangle
D
the circumcenter of an obtuse triangle
10

Point Y is the circumcenter of ΔDEF.

Question illustration
A
5
B
11
C
17
D
22

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