Incenter and Circumcenter

Question 1

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

Revolt · Accepted Answer

ZA = 3cm

Question 2

Point O is the incenter of triangle ABC.

Revolt · Accepted Answer

75°

Question 3

Point A is the incenter of ΔDEF.

Revolt · Accepted Answer

9 units

Question 4

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.

Revolt · Accepted Answer

Find the midpoint of the segments which connect their houses.

Question 5

Point Z is the incenter of triangle RST.

Revolt · Accepted Answer

x = 5

Question 6

Point A is the incenter of ΔDEF.

Revolt · Accepted Answer

11

Question 7

The figure shows a circle circumscribed around a triangle.

Revolt · Accepted Answer

perpendicular bisectors of the sides of the triangle

Question 8

Point Y is the circumcenter of triangle DEF.

Revolt · Accepted Answer

Point Y is the center of the circle that passes through points D, E, and F.

Question 9

The figure shows a circle inscribed in a triangle.

Revolt · Accepted Answer

Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.

Question 10

Point X is the circumcenter of ΔABC.

Revolt · Accepted Answer

2.5 cm

Incenter and Circumcenter Answers

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