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WorksheetsChapter 6 review
Total questions: 154
Worksheet time: 9hrs 53mins
Use an algebraic equation to find the measure of the two angles.
x = 90-16 ; 16°and 74°
x + x - 16 = 180; 98 °and 82°
2x - 16 = 90; 53° and 37°
x = x -16; 8° and 16°
Use an algebraic equation to find the measures of both angles
x = 3x - 20; 10° and 10°
4x - 20 = 90; 27.5° and 62.5°
4x - 20 = 180; 50° and 130°
4x - 20 = 180; 150° and 30°
What equation would you use to find the value of x?
2x-6=7x+4
2x-6+7x+4=90
2x-6+7x+4=180
2x-6+7x+4=360
Solve for x.
74
53
37
13
Write and solve an equation to solve for x
3x - 1 + x + 5 = 90 and x = 21.5
3x - 1 + x + 5 = 180 and x = 44
3x - 1 = x + 5 and x = 3
Write and solve an equation to solve for x
2x + 25 + 3x = 90 and x = 13
2x + 25 + 3x = 180 and x = 31
2x + 25 + 3x = 180 and x = 41
2x + 25 = 3x and x = 25
Solve for x.
(Only enter the number as your answer.)
(a)
Solve for y.
(Only enter the number as your answer.)
(a)
Solve for x.
(Only enter the number as your answer.)
(a)
Solve for x.
(Only enter the number as your answer.)
(a)
Solve for x.
(Only enter the number as your answer.)
(a)
What is x?
(Only enter the number as your answer.)
(a)
What is y?
(Only enter the number as your answer.)
(a)
Solve for x.
(Only enter the number as your answer.)
(a)
Solve for x.
(Only enter the number as your answer.)
(a)
If two figures are similar their angles are______.
proportional
congruent
supplementary
complementary
If two figures are similar, the corresponding sides are ______________.
equal
congruent
proportional
none of these
Choose the similarity statement for the triangles.
ΔMNL ∼ ΔOPQ
ΔNOM ∼ ΔPQL
ΔLMN ∼ ΔPQO
ΔMLN ∼ ΔPQO
Are the triangles similar?
Yes
No
Are these figures similar?
yes
no
Tell whether the two figures are similar. Explain your reasoning.
Yes, similar because they are the same shape and side lengths are proportional.
No, not similar because they are the same shape, but side lengths are not proportional.
Yes, same shape
No, different sizes
Are Triangle ABC and Triangle XYZ similar?
No, corresponding angles are not congruent
No, corresponding sides are not proportional
Yes, corresponding angles are congruent
Yes, corresponding sides are proportional
What is the similarity statement for the triangle pair?
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
Find missing side
5
7
9
11
Find side length X.
16
18
2.4
15
Find side length X.
30
25
15
40
Given that Triangle ABC is similar to Triangle DEF. Find the angle F.
60⁰
42⁰
79⁰
180⁰
∠A = ≅
∠M
∠N
∠L
What is the missing side?
-9
12
-1
8
∆ABC≅∆XYZ
which is true?
AB≅XY
AB≅YX
AB≅XZ
BC≅CB
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
T
∠T
∠M
∠L
Complete the congruence statement.
CRP
PCR
RPC
PRC
Complete the congruence statement.
OEG
OGE
EGO
GOE
Use the congruency statement to answer the following:
∠F = ∠ ___
H
I
G
not congruent to another angle
Which method will not prove triangles are congruent?
ASA
SAS
SSA
AAS
Are these triangles congruent?
Yes - SSS
Yes - AAA
No - They are different
Not enough information
Are these triangles congruent?
Yes - RHS
Yes - SSA
Yes - SAS
No - They are different triangles
Are these triangles congruent?
Yes - AAA
Yes - SSS
No, they are different
Not enough information
Classify the triangle shown in the picture by its angles.
Obtuse
Right
Acute
Equilateral
Classify the triangle shown in the picture by its angles.
Isosceles
Obtuse
Acute
Right
Classify the triangle shown in the picture by its sides.
Equilateral
Scalene
Obtuse
Isosceles
Classify the triangle shown in the picture by its sides.
Isosceles
Obtuse
Equilateral
Scalene
Solve for x
x = 12
x = 4
x = 3.33
x = 10
Find the measure of Angle A.
40°
140°
80°
100°
Use the Exterior Angle Theorem to find the value of x.
117
94
149
31
Find the value of x.
x = 27
x = 53
x = 49
x = -16
Find the measure of ∠ T
71
98
109
82
Find the measure of ∠ B
30
45
60
90
Name the side opposite of ∠ C
Side AB
Side BC
Side AC
Name the angle opposite side AB.
∠ A
∠ B
∠ C
Given the two triangles, which congruence statement is NOT true?
AB ≅ DF
DE ≅ AC
Δ ABC ≅ ΔDFE
ΔABC ≅Δ DEF
Given the two triangles, which statement is true by CPCTC?
∠ACB ≅ ∠ DFE
∠ BAC ≅ ∠ FDE
∠CAB ≅∠FED
∠ABC ≅ ∠ DEF
Use the Third Angles Theorem to find m∠F
55°
42°
96°
83°
Use the Third Angles Theorem to find the value of x.
x = 60
x = 55
x = 15
x = 65
Solve for x.
x = 10
x = 4
x = 5
x = 39
What is the name of the triangle congruent to ΔRPE ?
ΔCFT
ΔFTC
ΔTFC
ΔFCT
<F = ___
ΔBIG≅ΔLAD , which angle is congruent to ∠B ?
∠G
∠L
∠A
∠D
ΔBIG≅ΔLAD , which side is congruent to BG ?
BI
LA
AD
LD
If ΔGAM≅ΔERS , what angle is congruent to ∠RES ?
∠GAM
∠AGM
∠GMA
∠MAG
Name the vertex of the angle.
S
R
Q
S, R, and Q are vertices
Name the vertex of the angle.
E
F
D
E, F, and D are vertices
What is the arrow pointing to in the angle?
a ray
geometry
vertex
line
Choose the correct name for the angle marked ∠6.
∠KVL
∠LKV
∠V
∠JKV
Choose the correct name for the angle marked ∠3.
∠V
∠4
∠IVH
∠JVI
Determine the measure in degrees of the angle. Think: is it acute or obtuse?
70o
75o
105o
100o
Determine the measure of the angle. Think: is it acute or obtuse?
135o
130o
50o
45o
Which term best describes the figure?
Ray RST
Line segment RST
Angle RST
Point RST
Which names an obtuse angle in the figure?
Angle JHG
Angle FHJ
Angle GHK
Angle FHK
Which names a straight angle in the figure above?
Angle ABC
Angle EBF
Angle CBF
Angle ABF
Name the angle that is complementary to ∠AOB
∠BOC
∠AOC
BOC
∠O
∠A ≅
∠M
∠N
∠L
Tell whether the figures are congruent or not congruent.
Congruent
Not Congruent
Tell whether the figures are congruent or not congruent.
Congruent
Not Congruent
Remember order matters. Which of the following is true?
∆FGH ≅ ∆VHW
∆HFG ≅ ∆HWV
∆HGF ≅ ∆VHW
∆FGH ≅ ∆VWH
In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?
angle E
angle F
angle G
angle H
Solve the proportion:
c = 4
c = 8
c = 14
c = 10
The _________tells us how many times larger or smaller a figure is from the original.
Scale factor
Angle
Side lengths
Units
Which proportion would allow you to solve for the missing side, x?
A
B
C
D
CHALLENGE! Solve for x. (You will need to set up the proportion, and solve using the distributive property).
x = 4
x = 135
x = 1/4
x = 2
what band is this?
Weezer
Alice In Chains
Green Day
Fleetwood Mac
what band is this?
Oasis
Weezer
Blur
Black Sabbath
what band is this?
Foo Fighters
Nirvana
Weezer
Alice in Chains
What band is this?
Blur
Oasis
Black Sabbath
The Beatles
What band is this?
Green Day
Fleetwood Mac
Weezer
The Toadies
