GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
the ratio of the length of line segment
[#permalink]
09 Aug 2022, 07:28
09 Aug 2022, 07:28
Expert Reply
2
Bookmarks
00:00
Question Stats:
85% (01:41) correct
14% (00:36) wrong based on 7 sessions
Hide Show timer Statistics
Attachment:
GRE shapes.jpg [ 29.08 KiB | Viewed 1597 times ]
Quantity A |
Quantity B |
the ratio of the length of \(\frac{line segment AB}{the length of line segment DB}\) to the ratio of \(\frac{the length of line segment AE}{the length of line segment DC}\) |
\(\frac{3}{4}\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE Quantitative Comparison GEOMETRY+Tricky Questions - Special Summer Edition (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
the ratio of the length of line segment
[#permalink]
10 Aug 2022, 00:12
10 Aug 2022, 00:12
Expert Reply
OE
Quote:
∠1 and ∠2 are vertical angles, and therefore congruent, so ∠1 measures 75°. This can be used to determine the measure of the third angle of each triangle and consequently that triangles ABE and CBD are similar by Angle-Angle. The lengths of two corresponding sides of similar triangles are always proportionate, so the ratio in column A works out to 1/1>3/4 so the answer is a. This problem is easy to solve if you know the properties of similar triangles and are able to understand the ratio described in column A.
