wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Optional Practice - Unit 5 Study Guide Part A

Total questions: 55

Worksheet time: 2hrs 36mins

Name
Class
Date
1.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
2.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
3.
Find the missing length.
a)
12
b)
3
c)
24
d)
6
4.
Find the missing length.
a)
x = 12
b)
x = 11
c)
x = 15
d)
x = 9
5.
What is the measure of angle Y?
a)
60
b)
40
c)
140
d)
100
6.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
7.
How many midsegments does a triangle have?
a)
1
b)

2

c)
3
d)
4
8.
Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.
a)
angle oppostie
b)
side perpendicular
c)
side parallel
d)
incenter point
9.
Find x
a)
0
b)
9
c)
-1.5
d)
2
10.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
11.
What is the value of x?
a)
10
b)
No Solution
c)
5
d)
2
12.

What is the value of y?

a)

3

b)

No Solution

c)

5

d)

2

13.

Which is true about any midsegment in a triangle?

(Select all that apply.)

a)

The midsegment is parallel to its corresponding side.

b)

The midsegment is perpendicular to its corresponding side.

c)

The midsegment is half as long as its corresponding side.

d)

The midsegment connects the midpoints of two sides of a triangle.

e)

The midsegment is twice as long as its corresponding side.

14.
Segment DE is ____________.
a)
an angle bisector
b)
a perpendicular segment
c)
a median
d)
a midsegment 
15.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
16.

AC  \overline{AC}\ \parallel\ _{ }  ____

a)

LK\overline{LK}  

b)

LJ\overline{LJ}  

c)

JK\overline{JK}  

d)

The segment is not parallel to any other segment in the diagram.  

17.

AB  \overline{AB}\ \parallel\ _{ }  ____

a)

LK\overline{LK}  

b)

LJ\overline{LJ}  

c)

JK\overline{JK}  

d)

The segment is not parallel to any other segment in the diagram.  

18.

BC =BC\ =  ______

a)

4

b)

5

c)

8

d)

10

19.

What is the perimeter of  ΔABC\Delta ABC  ?

a)

13

b)

14

c)

26

d)

Cannot be determined from the information given.  

20.

If AB = 22, what is YZ?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

21.

If XZ = 22, what is BC?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

22.

What is the value of x?

a)

17

b)

34

c)

68

d)

Impossible to determine from the information given.

23.

What is the value of x?

a)

1

b)

2

c)

4

d)

Impossible to determine from the information given.

24.

mA=32°,m\angle A=32\degree, what is  mAXY ?m\angle AXY\ ?  

a)

32

b)

16

c)

64

d)

148

25.
Name a segment that has the same length as segment BD
a)
segment BE
b)
segment DE
c)
segment AD
d)
segment AC
26.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
27.
Is DE parallel to BC?
a)
Yes
b)
No
28.
Does GH = 1/2DF?.
a)
no
b)
yes
29.
What is the intersection of three perpendicular bisectors called?
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
30.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
31.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
32.
Use the Perp Bisector Theorem to find HG
a)
28
b)
14
c)
41
d)
7
33.

XY and XZ are midsegments.

Find XZ

(a)  

34.

XZ and XY are midsegments.

Find ST.

(a)  

35.

XZ and XY are midsegments.

Find angle RYX

a)

RYX = 124

Alternate exterior angles

b)

RYX = 124

Alternate interior angles

c)

RYX = 56

Alternate exterior angles

d)

RYX = 56

Alternate interior angles

36.
Name the point of concurrency
a)
incenter
b)
circumcenter
c)
centroid
d)
orthocenter
37.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
38.
Use the Perp Bisector Theorem to find PQ
a)
10
b)
3
c)
-2
d)
5
39.

Z is the circumcenter of triangle TUV. Find TU.

a)

34

b)

42

c)

30

d)

38

40.

Z is the circumcenter of triangle TUV. Find VY.

a)

17

b)

15

c)

19

d)

21

41.

Z is the circumcenter of triangle TUV. Find UZ.

a)

17

b)

15

c)

19

d)

21

42.
Find SV
a)
18
b)
36
c)
21
d)
9
43.

Find the measure of CP

(a)  

44.
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 
45.
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 
46.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
47.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
48.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
49.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Center-center
50.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
neither
d)
Pokecenter
51.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
52.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
53.

What is the special property for circumcenters?

a)

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

b)

The circumcenter is equally distant to the vertices.

54.

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

a)

perpendicular bisectors

b)

angle bisectors

55.

What is the special property for incenters?

a)

The distance from the incenter to the sides will all be the same.

b)

The incenter is always outside the triangle.