AnswersMathematics IIIncenter and Circumcenter

Incenter and Circumcenter — Quiz Answers

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1
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Which statement is true about point cap y ?

A
Point cap y is the center of the circle that passes through points cap d , cap e , and cap f .
B
Point cap y is the center of the circle that passes through points cap m , cap n , and cap e .
C
Point cap y is the center of the circle that passes through points cap l , cap m , and cap n .
D
Point cap y is the center of the circle that passes through points cap d , cap f , and cap n .
2
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Which must be true? Choose three correct answers.

A
line segment ZA is congruent to line segment YA
B
Point cap A is the center of the circle that passes through points cap d , cap e , and cap f .
C
Point cap A is the center of the circle that passes through points cap x , cap y , and cap z .
D
line segment AX is congruent to line segment AY
E
line segment EA is congruent to line segment FA
3

What is m angle ZUB ?

A
23.7 degrees
B
32.8 degrees
C
57.2 degrees
D
33.5 degrees
4

What is the value of x ?

A
4
B
8
C
32
D
24
5

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

A
the incenter of an obtuse triangle
B
the incenter of a right triangle
C
the circumcenter of a right triangle
D
the circumcenter of an obtuse triangle
6

Which step should they take next to find a meeting place that is the same distance from each person’s house?

A
Find the midpoint of the segments which connect their houses.
B
Draw perpendicular line segments from each vertex to the opposite side.
C
Draw perpendicular lines through any point on the segments which connect their houses.
D
Bisect each of the angles with vertices at their houses.
7

Which must be true?

A
line segment KF is congruent to line segment LD
B
line segment FH is congruent to line segment DH
C
line segment JH is congruent to line segment LH
D
line segment JF is congruent to line segment JD
8

What is the length of MB ?

A
2 point 5 cm
B
2 cm
C
3 cm
D
1 point 5 cm
9

What is the length of ZA ?

A
ZA is equal to 6 cm
B
ZA is equal to 5 cm
C
ZA is equal to 3 cm
D
ZA is equal to 4 cm
10

Which must be true?

A
line segment BP is congruent to line segment PC
B
angle BPS is congruent to angle APT
C
line segment CP is congruent to line segment RP
D
angle PSC is congruent to angle PTC

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Incenter and Circumcenter — Quiz Answers…