AnswersGeometry - Semester 1 PathwaysIncenter and Circumcenter

Incenter and Circumcenter Answers

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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
5

Point A is the incenter of ΔDEF.

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

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