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Geo Ch 5 definitions

Total questions: 55

Worksheet time: 3hrs 43mins

Name
Class
Date
1.

1. What is the point of concurrency of the perpendicular bisectors of a triangle?

a)

Circumcenter

b)

incenter

c)

orthocenter

d)

centroid

2.

2. What is the point of concurrency for the median of a triangle?

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

3.

3. These types of lines do NOT have to go through the vertex?

a)

altitudes

b)

median

c)

angle bisectors

d)

perpendicular bisectors

4.

4. Name of the segment of a triangle drawn from any vertex to the midpoint of the opposite side?

a)

altitude

b)

perpendicular bisector

c)

median

d)

midsegment

5.

5. A segment drawn from the vertex perpendicular to the opposite side is called a....

a)

median

b)

perpendicular bisector

c)

altitude

d)

angle bisector

6.

6. The point of concurrency of ANGLE BISECTORS is....

a)

equidistant from the vertices

b)

outside the triangle

c)

called the circum center

d)

equidistant from the sides of the angle

7.
7. What type of lines have a point equidistant from the vertices of a triangle?
a)
altitudes
b)
angle bisectors
c)
median
d)
perpendicular bisectors
8.
8. What type of lines create a point 2/3 the distance from the vertex and 1/3 from the side?
a)
median
b)
perpendicular bisector
c)
altitude
d)
angle bisector
9.
9. A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.
a)
incenter
b)
angle bisector
c)
perpendicular bisector
d)
circumcenter
10.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
11.
11. what type of lines are shown:
a)
perpendicular bisector
b)
angle bisectors
c)
altitudes
d)
medians
12.
12. what type of lines are shown:
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
medians
13.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
14.
14. Which line is a perpendicular bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
15.
15.  Which two types of lines only meet inside the triangle?
a)
Perpendicular bisectors and angle bisectors
b)
medians and altitudes
c)
medians and angle bisectors
d)
perpendicular bisectors and altitudes
16.
17.  What type of line is shown by CD
a)
Altitude
b)
perpendicular bisector
c)
median
d)
angle bisector
17.
18.  What information are you missing from FG to KNOW that it is a perpendicular bisector?
a)
congruent angle markings
b)
congruent side markings
c)
The right angle
d)
nothing
18.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
19.
Find LK
a)
3
b)
5
c)
-3
d)
6
20.
Is DE 1/2 the length of BC?
a)
Yes
b)
No
21.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
22.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
23.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
24.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
25.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
26.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
27.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
28.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
29.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

30.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

31.

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

a)

8

b)

16

c)

24

d)

Not Enough Information

32.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point of the three perpendicular bisectors of a triangle 
b)
when a circle passes through the three vertices of a triangle 
c)
the point of intersection of three or more lines 
d)
the intersection point of the three angle bisectors of a triangle 
33.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle 
b)
when three or more lines intersect at a single point 
c)
the intersection point of the three perpendicular bisectors of a triangle 
d)
the point of intersection of three or more lines 
34.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
35.
Which of the images represents the Incenter of a Triangle
a)
First
b)
Second
c)
Third
36.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
37.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
38.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
39.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
40.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

41.

Given: AG = 10, find the length of BG.

a)

10

b)

20

c)

5

d)

30

42.

If m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

43.

Find the length of TU

a)

15

b)

12

c)

26

d)

13

44.

HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.

a)

50

b)

16

c)

21

d)

not enough information

45.

A triangle has side lengths:

5, 8, 6. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?

a)

right

b)

acute

c)

obtuse

46.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

47.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

48.

What is the length of q?

a)

q = 14

b)

q = 7

c)

q = √2

d)

q = 14√2

49.

Find a - the length of a leg of the triangle.

a)

5

b)

√2

c)

5√2

d)

2

50.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

51.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

52.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

53.

Find a.

a)

3

b)

3√3

c)

6

d)

2√3

54.

Find a.

a)

12

b)

24

c)

24√3

d)

16

55.

Find a.

a)

9

b)

9√3

c)

9√2

d)

2√3

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