AB is a diameter of the circle above.
Quantity A : The length of AB
Quantity B : The average (arithmetic mean) of the lengths of AC and AD
Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.
3 Explanations
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Jorge Isaac Cordero Enriquez
Hi!
I had the same logic as Vishnu (as AC and AD can be freely moved, they can in fact become as long as the diameter).
So it is safe to assume that when dealing with diagrams, where we can move the geometry (lines, angles, etc), two elements cannot superpose?
Here chord AC and AD can also be equal to diameter. Hence their average will equal to diameter AB. In this case, the answer will be D. Why arent we considering the AC and AD equal to diameter. The Largest chord is the diameter right?
Vishnu, you're right that the diameter is the largest chord. However, although GRE diagrams are not drawn to scale, we CAN assume that segments that appear separate ARE separate. Therefore, AB, AC, and AD are different segments sharing the same vertex. There can only be one diameter from A. So if AB is the diameter, AC and AD cannot be diameters. I hope that helps.
3 Explanations