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Incenter Practice 11/12

Total questions: 12

Worksheet time: 11mins

Name
Class
Date
1.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

2.

A Incenter is the point at which three _____________ intersect in a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectors

3.

A line that divides an angle into two congruent parts.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

Perpendicular Bisector

e)

Midsegment

4.

Name this center:

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

5.

If J is the incenter of the triangle and JL = 4, what is the length of JK?

a)

4

b)

8

c)

2

d)

12

6.

The point of concurrency of three angle bisectors in a triangle is called the -

a)

Circumcenter

b)

Incenter

c)

Altitude

d)

Median

7.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

8.

The incenter of ΔTUS is located at point P. If CP = 4x + 9 and PB = 6x – 11, find the length of PD.

a)

40

b)

18

c)

10

d)

49

9.

Point P is the incenter of ΔFGH.

mTFP = 3x+15    and     mUFP=5x13m\angle TFP\ =\ 3x+15\ \ \ \ and\ \ \ \ \ m\angle UFP=5x-13

Find the measure of angle TFU.

a)

57°

b)

31.5°

c)

14°

d)

42°

10.

In ΔCDE, Point P is the incenter.

∠SDP = 7x + 5

∠UDP = 9x - 5

Find the value of x.

a)

10

b)

80

c)

5

d)

40

11.

P is the incenter of ∆XYZ.

∠SZP = 7x + 7

∠SZT = 16x + 4

Find the measure of angle SZT.

a)

84°

b)

42°

c)

d)

12.

Which geometric principle is used in the construction shown?

a)

The intersection of the angle bisectors of a triangle is the center of the inscribed circle.

b)

The intersection of the angle bisectors of a triangle is the center of the circumscribed circle.

c)

The intersection of the perpendicular bisectors of the sides of a triangle is the center of the inscribed circle

d)

The intersection of the perpendicular bisectors of the sides of a triangle is the center of the circumscribed circle.