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The measure of angle ABC
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24 Jan 2024, 00:15
24 Jan 2024, 00:15
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Quantity A |
Quantity B |
The measure of angle ABC |
The measure of angle DEF |
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.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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The measure of angle ABC
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26 Jan 2024, 12:26
26 Jan 2024, 12:26
1
This tests your knowledge of similar triangles. Here's a great overview on the concept if you need a refresher.
If the sides of two triangles are proportional (aka in the same ratio), they are similar triangles and their corresponding angles are equal.
\(\frac{DE}{AB} = \frac{10}{5} = 2\)
\(\frac{EF}{BC} = \frac{18}{9} = 2\)
\(\frac{FD}{CA} = \frac{26}{13} = 2\)
Therefore, triangles ABC and DEF are proportional, which means \(\angle ABC = \angle DEF\).
If the sides of two triangles are proportional (aka in the same ratio), they are similar triangles and their corresponding angles are equal.
\(\frac{DE}{AB} = \frac{10}{5} = 2\)
\(\frac{EF}{BC} = \frac{18}{9} = 2\)
\(\frac{FD}{CA} = \frac{26}{13} = 2\)
Therefore, triangles ABC and DEF are proportional, which means \(\angle ABC = \angle DEF\).
gmatclubot
The measure of angle ABC [#permalink]
26 Jan 2024, 12:26
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