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ST=TV
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05 Jan 2022, 06:22
05 Jan 2022, 06:22
Expert Reply
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Question Stats:
88% (01:14) correct
11% (01:10) wrong based on 17 sessions
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\(ST=TV\)
Quantity A |
Quantity B |
The area of the square PQTV |
The area of triangle PSV |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
See more on this topic GRE Geometry Formulas for a Q170
Re: ST=TV
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05 Jan 2022, 08:20
05 Jan 2022, 08:20
1
Expert Reply
Let O be the point of intersection between the lines QT and SP. Given than T is located in the middle of S and V, the triangles QOP and TOS are equivalent.
The quantity A denotes the area of PQTV. And, the quantity B represents the area of POTV+TOS. Given the aforementioned equivalency, Quantity B can also be written as POTV+QOP=PQTV. Hence, the answer is C.
The quantity A denotes the area of PQTV. And, the quantity B represents the area of POTV+TOS. Given the aforementioned equivalency, Quantity B can also be written as POTV+QOP=PQTV. Hence, the answer is C.
gmatclubot
Re: ST=TV [#permalink]
05 Jan 2022, 08:20
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