AnswersGeometry - Semester 1 PathwaysTriangle Congruence: SSS and HL

Incenter and Circumcenter Answers

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Point P is the incenter of ΔRST.

Question illustration
A
Line segment C P is-congruent-to line segment R P
Option A
B
Line segment B P is-congruent-to line segment P C
Option B
C
PSC PTC
Option C
D
BPS APT
Option D
6

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
7

The figure shows a circle inscribed in a triangle.

Question illustration
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.
9

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.
10

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

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