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Unit 6 Part 2 Test Review

Total questions: 36

Worksheet time: 9hrs 0mins

Name
Class
Date
1.

Which type of triangle would have its orthocenter on the triangle?

a)

right

b)

obtuse

c)

scalene

d)

equilateral

2.

Which is the point of intersection of the medians of a triangle?

a)

orthocenter

b)

centroid

c)

incenter

d)

circumcenter

3.

Three or more lines that contain the same point are called:

a)

parallel

b)

perpendicular

c)

current

d)

concurrent

4.

The incenter of a triangle can be located by finding the intersection of the:

a)

altitudes

b)

medians

c)

perpendicular bisectors of the three sides

d)

angle bisectors

5.

In the diagram of ΔABC below, Jose found centroid P by constructing the three medians. He measured and found it to be 6 inches.

If PF = x, which equation can be used to find x?

a)

x + x = 6

b)

2x + x = 6

c)

3x + 2x = 6

d)

x + ⅔ x = 6

6.

Which of the following points in the diagram below is the incenter of triangle ABC?

a)

D

b)

O

c)

E

d)

C

7.

Find the coordinates of the center of the circle and the measure of the radius:

(x + 1)2 + y2 = 121

a)

C: (1, 1), r =11

b)

C: (-1, 0), r = 11

c)

C: (1, 0), r =121

d)

C: (1, 0), r = 121

8.

Find the standard form, center, and radius of the following circle:

x2 + 8y + y2 -6y -2 = 0

a)

(x + 4)2 + (y -3)2 = 27

b)

(x + 4)2 + (y -3)2 = 2

c)

(x + 4)2 + (y + 3)2 = 2

d)

(x + 4)2 + (y + 3)2 = 27

9.

Given that point S is the incenter of right triangle PQR and angle RQS is 30°, what are the measures of angles RSQ and RPQ?

a)

<RSQ = 105o, <RPQ = 30o

b)

<RSQ = 30o, <RPQ = 105o

c)

<RSQ = 30o, <RPQ = 15o

d)

<RSQ = 60o, <RPQ = 30o

10.

If circle O is circumscribed about triangle ABC, point O is what point of the triangle?

a)

orthocenter

b)

circumcenter

c)

incenter

d)

centroid

11.

Which point is the intersection of the altitudes of a triangle?

a)

orthocenter

b)

circumcenter

c)

incenter

d)

centroid

12.

Which of the four centers always remains on or inside a triangle?

a)

incenter only

b)

incenter and centroid

c)

orthocenter and incenter

d)

circumcenter only

13.

The circumcenter of a triangle can be located by finding the intersection of the:

a)

altitudes

b)

medians

c)

perpendicular bisectors of the three sides

d)

angle bisectors

14.

Identify a median of triangle ABC

a)

B̅F̅

b)

G̅H̅

c)

A̅D̅

d)

C̅E̅

e)

none of these

15.

Identify an altitude of triangle ABC.

a)

C̅E̅

b)

G̅H̅

c)

B̅F̅

d)

A̅D̅

e)

C̅B̅

16.

In triangle ABC, if m<ABF = 39o and B̅F̅ is an angle bisector, find m<BCE.

a)

90o

b)

45o

c)

39o

d)

51o

e)

12o

17.

The perpendicular bisector of a triangle is never the same as the angle bisector.

a)

True

b)

False

18.

The angle bisectors of a scalene triangle intersect outside the triangle.

a)

True

b)

False

19.

The perpendicular bisectors of a right triangle intersect on the triangle.

a)

True

b)

False

20.

To find the point that is equidistant from the sides, you need to find the circumcenter.

a)

True

b)

False

21.

The median starts at a vertex and goes to the opposite midpoint.

a)

True

b)

False

22.

The ______________________ is ⅔ the distance of the median from the vertex.

a)

centroid

b)

orthocenter

c)

incenter

d)

circumcenter

23.

The orthocenter is located outside the triangle in a(n) __________________ triangle.

a)

right

b)

acute

c)

obtuse

d)

scalene

24.

In a _________________ triangle, altitudes are legs.

a)

obtuse

b)

acute

c)

scalene

d)

right

25.

To find the point that is equidistant from the vertices of a triangle, we need to draw or construct the three _______________ of a triangle.

a)

altitudes

b)

medians

c)

angle bisectors

d)

perpendicular bisectors

26.

Find the degree of arc NP

a)

120o

b)

240o

c)

80o

d)

90o

27.

Find the measure of chord KM.

a)

12

b)

24

c)

16

d)

6

28.

Suppose a chord is 20 inches long and is 24 inches from the center of the circle. Find the length of the radius.

a)

26

b)

24

c)

22

d)

21.82

29.

Suppose a chord of a circle is 5 inches from the center and is 24 inches long. Find the length of the radius.

a)

12

b)

13

c)

5

d)

26

30.

Find m<2.

a)

67

b)

134

c)

22

d)

77

31.

Find the value of x.

a)

70o

b)

140o

c)

35o

d)

50o

32.

Find the value of x.

a)

30

b)

60

c)

40

d)

35

33.

Find m<1.

a)

140o

b)

120o

c)

160o

d)

80o

34.

Find m<3.

a)

25.5o

b)

51o

c)

52o

d)

103o

35.

Find m<5.

a)

215o

b)

70o

c)

35o

d)

72.5o

36.

Find the value of x.

a)

25

b)

15

c)

13.23

d)

35