$334.71
. Enter your result
in the text box.
5
770
19. 45 or
17
17
his proble as s ou to use our no ledge o the ratios o si ilar triangles to find the peri eter o a uadrilateral.
1
ou are gi en that
ABD
is si ilar to
BCD
,
h
, and
BD
. irst appl the atio o i ilar riangles
17
h
AD
Ratio of Similar Triangles
BD
BD
h AD
Multiply both sides by
BD
o use the thagorean heore to find
AB:
AB
2
BD
2
AD
2
Pythagorean Theorem
1 2
AB
2
2
7
Substitution
17
14400
AB
2
Expand the exponent
289
65025
14400
50625
AB
2
–
Subtract using a common denominator
289
289
289
225
AB
Take the square root; discard the negative result
17
o ou can return to using the ratio o si ilar triangles to find the re aining sides
BC
BD
Ratio of Similar Triangles
BD
AB
BC
15
Substitute values
15
15
225
17
317
PRACTICE TEST 2
ARGOPREP.COM/GRE
QUANTITATIVE REASONING
ANSWER KEY: SECTION 5
BC
225
ol e or
BC
225
17
DC
BC
Ratio of Similar Triangles
h
BD
DC
17
Substitution
1
15
7 17
1
120
17 7
17
DC
17
17
ol e or
DC
15
15
The perimeter is then:
AB BC CD AD
Perimeter Formula
225
1
5
Calculate
17
17
17
The correct answer is
45 5 or 770.
Enter your answer in the boxes provided. Remember that the numerator goes
17
17
in the top box and the denominator goes in the bottom.
20. B, D.
This problem asks you to solve a system of equations, one of which is a
polynomial.
2
y x
2
Gi en e uation
2
x
2
y
ultipl through b
3
x
– 4
y
Gi en e uation
2
x
2
x
dd e uations and
2
x
2
x
o e all ter s to one side o the e uation
(2
x
+ 7)(
x
actor the pol no ial
From this you see there are 2 solutions for
x
7, 2}. Select answer
choices
B
and
D
.
2
318
ARGOPREP.COM/GRE
TITLE
VERBAL REASONING
ANSWE SUB
R K TITLE
EY: SECTION 6
1. A.
he phrase in act lets ou no that this sentence ill con e opposites in its t o hal es.
paragon
is a perfect
model, which when tied to virtue stands as the opposite of the moral corruption represented by slavery and land
grabs.
Founders
is a trick option, as America’s early presidents are often referred to as the country’s founding fathers;
the term means one who begins or establishes something. A
cipher
is a person of no value, a
prophet
is one who predicts the future, and a
felon
is a cri inal. one fit the conte t.
2. A, E.
Here, you need to know that
quips
can be sharp and cutting, and not just the smart or saucy remarks they often
describe. he ord choice o ro also suggests since one usuall describes
ordeals
(severely trying tests or experiences) or
escapades
rec less ad entures as ith so eone or so ething. or the second blan
retiring
describes someone who is withdrawn or secluded, matching the context of the sentence. There is nothing in the
sentence to suggest that the widow is
devout
(pious) or
taut
(emotionally or
mentally tense).
3. A, E, G.
Orthodox
(traditional) beliefs have caused various communities to
expurgate
or remove various practices from their idst. or the first blan
putative
supposed or reputed does not fit the conte t. o e o these belie s a
have been
occult
ones, tied to the supernatural, but there is nothing in this sentence to support this choice. For
the second blank,
belie
sho to be alse does not properl fit the sentences gra
ar hile
beleaguer
(attack,
usuall in a ilitar conte t better fits people or places than practices. or the third blan a co
unit ould
remove practices that were
antagonistic
or hostile to their values.
Endemic
is the opposite and means belonging to
a specific group o people hile so ething that is
contentious
causes arguments but is not necessarily damaging.
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