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Circumcenter, Incenter, and Pythagorean Theorem

Total questions: 31

Worksheet time: 4hrs 16mins

Name
Class
Date
1.

If P is the incenter of ΔJKL find:

m∠MJP

a)
39
b)

36

c)

41

d)

27

2.

If P is the incenter of ΔJKL find:

m∠JKL

a)
46
b)

72

c)

66

d)

38

3.

If P is the incenter of ΔJKL find:

m∠NKP

a)
23
b)

40

c)

56

d)

34

4.

If P is the incenter of ΔJKL find:

m∠KLJ

a)

56

b)

44

c)

26

d)

41

5.

If P is the incenter of ΔJKL find:

NP

a)

13

b)

16

c)

24

d)

30

6.

If P is the incenter of ΔJKL find:

KM

a)

30

b)

24

c)

39

d)

51

7.

If P is the incenter of ΔJKL find:

KP

a)

32.7

b)

26.8

c)

33.9

d)

42.2

8.

If P is the incenter of ΔJKL find:

PL

a)

27.3

b)

25.1

c)

23.9

d)

24.6

9.

If K is the incenter of ΔDEF, find each measure.

Find x.

a)

3

b)

5

c)

16

d)

11

10.

If K is the incenter of ΔDEF, find each measure.

Find KI

a)

53

b)

32

c)

17

d)

82

11.

If K is the incenter of ΔDEF, find each measure.

Find DK.

a)

34.1

b)

33.6

c)

34.5

d)

36.3

12.

The circumcenter is the point at which all the ______ of a triangle meet.

a)

perpendicular bisectors

b)

angle bisectors

c)

medians

d)

altitudes

13.

What is the special property for circumcenters?

a)

The circumcenter is equally distant to the sides of the triangle.

b)

The circumcenter is equally distant to the midpoint of the sides of the triangle.

c)

The circumcenter is at the center of the triangle.

d)

The circumcenter is equally distant to the vertices.

14.

The example from the video is shown. What is the measure of EC?

a)

6

b)

12

c)

15

d)

20

15.

The example from the video is shown. What is the measure of GB?

a)

6

b)

12

c)

15

d)

20

16.

The example from the video is shown. What was used to find AF?

a)

The Pythagorean Theorem (a2+b2=c2)

b)

Triangle Sum Theorem (triangle = 180)

c)

Definition of bisector

d)

Trig (SOH-CAH-TOA)

17.

Z is the circumcenter of triangle TUV. Find TU.

a)

34

b)

42

c)

30

d)

38

18.

Z is the circumcenter of triangle TUV. Find VY.

a)

17

b)

15

c)

19

d)

21

19.

Z is the circumcenter of triangle TUV. Find UZ.

a)

17

b)

15

c)

19

d)

21

20.

Z is the circumcenter of triangle TUV. Find TZ.

a)

24

b)

15

c)

21

d)

17

21.

Z is the circumcenter of triangle TUV. Find WV.

Hint: you will have to use pythagorean theorem

a)

12.6

b)

13.9

c)

14.7

d)

16.4

22.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
23.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
24.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
25.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
26.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
27.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
28.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
29.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

30.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

31.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm