Download Halloween Cumulative Review Units 1-3

Halloween Cumulative Review Units 1-3
1. Which diagram shows plane PQR and plane QRS intersecting only in
a.
c.
b.
?
d.
2. Are points B, J, and C collinear or noncollinear?
a. collinear
b. noncollinear
3. ____ two points are collinear.
a. Any
b. Sometimes
4. If
c. impossible to tell
c. No
find the values of x, EF, and FG. The drawing is not to scale.
E
F
a. x = 10, EF = 8, FG = 15
b. x = 3, EF = –6, FG = –6
G
c. x = 10, EF = 32, FG = 45
d. x = 3, EF = 8, FG = 15
5. What can you conclude from the information in the diagram?
P
U
S
Q
R
T
a. 1.
2.
3.
b. 1.
are vertical angles
2.
3.
c. 1.
2.
3.
d. 1.
2.
3.
are adjacent angles
is a right angle
are vertical angles
is a right angle
are adjacent angles
6. If T is the midpoint of
S
T
9x
U
4x + 25
a. x = 5, ST = 45
b. x = 5, ST = 60
7. If
find the values of x and ST. The diagram is not to scale.
and
c. x = 10, ST = 60
d. x = 10, ST = 45
then what is the measure of
The diagram is not to scale.
8.
bisects
and
find
9.
Solve for x and
The diagram is not to scale.
bisects
, and
Write an expression for
is not to scale.
.
. The diagram
10. In the figure shown,
. Which
of the following statements is false?
Not drawn to scale
a.
b.
c.
d.
BEC and
CED are adjacent angles.
AED and
BEC are adjacent angles.
11. Find the value of x.
(7x – 8)°
(6x + 11)°
Drawing not to scale
12. Find the values of x and y.
4y°
112°
7x + 7°
Drawing not to scale
13. If BCDE is congruent to OPQR, then
is congruent to
14.
15. Given
a. 2
and
b. 9
, find the length of QS and TV.
c. 8
d. 20
16. Justify the last two steps of the proof.
Given:
and
Prove:
R
S
T
U
Proof:
1.
1. Given
2. Given
3.
4.
2.
3.
4.
a.
b.
C
d
Symmetric Property of
Reflexive Property of
Reflexive Property of
Symmetric Property of
; SSS
; SAS
; SSS
; SAS
17. What is the missing reason in the proof?
Given:
Prove:
bisects
and
bisects
B
<
A
C
>
D
Statements
Reasons
1.
2.
3.
bisects
1. Given
2. Definition of angle bisector
3. Reflexive property
4.
5.
6.
bisects
4. Given
5. Definition of angle bisector
6. ?
a. ASA Postulate
b. SSS Postulate
c. SAS Postulate
d. AAS Theorem
18.What other information do you need in order to
prove the triangles congruent using the SAS
Congruence Postulate?
19.Supply the missing reasons to complete the proof.
Given:
and
Prove:
A
Q
S
R
B
a.
b.
C
D
P
c.
d.
T


a. ASA; Substitution
b. SAS; CPCTC
c. AAS; CPCTC
d. ASA; CPCTC
20. State whether
and
7
are congruent. Justify your answer.
7
a. yes, by either SSS or SAS
b. yes, by SSS only
c. yes, by SAS only
d. No; there is not enough information to conclude that the triangles are congruent.
21. A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30
square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers
must they have?
a. 12 drivers
b. 10 drivers
c. 15 drivers
d. 9 drivers
22. Find the values of x and y.
(
(
A
|
|
y°
x°
B
23. If
47°
D
C
Drawing not to scale
and
, then what
is the measure of
The diagram is not to
scale.
Factor the expression.
24.
a.
c.
b.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
25.
26.
27.
28. If
a. 3b
29. If
a.
then 3a = ____.
b. 10b
, then
b.
c. 5b
d. 6b
c.
d.
= ____.
30. A tree casts a shadow 10 ft long. A boy standing
next to the tree casts a shadow 2.5 ft. long. The
triangle shown for the tree and its shadow is
similar to the triangle shown for the boy and his
shadow. If the boy is 5 ft. tall, how tall is the tree?
32.
11 ft
x
8 ft
3 ft
Drawing not to scale
33. Use the information in the diagram to determine
the height of the tree. The diagram is not to scale.
Drawing not to scale
150 ft
The pair of figures is similar. Find x. Round to
the nearest tenth if necessary.
31.
25 cm
17 cm
x
18 cm
Drawing not to scale
35.Find the value of x. The diagram is not to scale.
34. If
then what are
The diagram is not to scale.
and
38. Find the value of x.
40
x
40
16
32
3x – 4
25
25
36. Points B, D, and F are midpoints of the sides of
EC = 30 and DF = 23. Find AC. The
diagram is not to scale.
39. From the information in the diagram, can you
prove
? Explain.
A
B
F
C
D
E
37. B is the midpoint of
D is the midpoint of
and AE = 21. Find BD. The diagram is not to scale.
C
B
40. The two triangles are congruent as suggested by
their appearance. Find the value of c. The
diagrams are not to scale.
D
d°
38°
g
5
b
A
4
E
f°
e°
3
52°
c