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In the figure above, line segments AC and BD are parallel. [#permalink]
06 Oct 2018, 16:07

Expert's post

00:00

Question Stats:

84% (00:34) correct
15% (00:08) wrong based on 26 sessions

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In the figure above, line segments AC and BD are parallel.

Quantity A

Quantity B

The area of triangle WYX

The area of triangle WZX

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.

Re: In the figure above, line segments AC and BD are parallel. [#permalink]
18 Dec 2018, 11:40

I dont get this. What allows us to say that YW and ZX are parallel? In other words, could it not be a trapezoid (given our thing of not trusting a diagram?)

Re: In the figure above, line segments AC and BD are parallel. [#permalink]
18 Dec 2018, 16:42

Answer: C The area of triangle WYX = 1/2 * H * WX The area of triangle ZWX = 1/2 * H * WX

H is same for both of triangles because it is said that AC and BD are parallel and so all lines which crosse them in 90degrees, are equal. A and B are equal and the answer is C.
_________________

Re: In the figure above, line segments AC and BD are parallel. [#permalink]
19 Dec 2018, 06:30

1

This post received KUDOS

Expert's post

zizzi wrote:

Thank you.

Apologies for still asking a dumb question, but what is stopping the diagram from actually being something like this:

It's possible that the diagram looks like that. However, if you add the lines that create triangles WYX and WZX, you'll find that those two triangles have the same base and height, which means their areas must be equal.

Cheers, Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Dayemails

Re: In the figure above, line segments AC and BD are parallel. [#permalink]
19 Dec 2018, 07:46

GreenlightTestPrep wrote:

zizzi wrote:

Thank you.

Apologies for still asking a dumb question, but what is stopping the diagram from actually being something like this:

It's possible that the diagram looks like that. However, if you add the lines that create triangles WYX and WZX, you'll find that those two triangles have the same base and height, which means their areas must be equal.