Incenter and Circumcenter Answers
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1
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Point H is the circumcenter of ΔJKL.
A
Line segment F H is-congruent-to line segment D H
B
Line segment J F is-congruent-to line segment L H
C
Line segment J H is-congruent-to line segment L H
D
Line segment K F is-congruent-to line segment L D
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
D
Line segment E A is-congruent-to line segment F A
E
Line segment A X is-congruent-to line segment A Y
3
Point A is the point of concurrency of the angle bisectors of ΔDEF.
A
ZA = 3cmB
ZA = 4cmC
ZA = 5cmD
ZA = 6cm4
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 triangle5
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.6
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown.
A
Find the midpoint of the segments which connect their houses.B
Bisect each of the angles with vertices at their houses.C
Draw perpendicular lines through any point on the segments which connect their houses.D
Draw perpendicular line segments from each vertex to the opposite side.7
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.8
Point A is the incenter of ΔDEF.
A
2 unitsB
9 unitsC
11 unitsD
14 units9
Point P is the incenter of ΔRST.
A
Line segment C P is-congruent-to line segment R P
B
Line segment B P is-congruent-to line segment P C
C
PSC PTC
D
BPS APT
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