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

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In the figure above, line segments AC and BD are parallel. [#permalink] New post 06 Oct 2018, 16:07
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83% (00:32) correct 16% (00:08) wrong based on 24 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.
[Reveal] Spoiler: OA

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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 07 Oct 2018, 09:00
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sandy wrote:
Attachment:
Capture.JPG


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



Image

Notice that ∆WYX and ∆WZX have the SAME BASE (WX)
Also, since AC || BD, we know that ∆WYX and ∆WZX have the SAME HEIGHT

Area of triangle = (base)(height)/2

Since both triangles have the same base and height, we can be certain that their areas are equal.

Answer: C

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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 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?)
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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 18 Dec 2018, 15:49
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No. what you said is not possible just because of the constraint is the two line are parallel.

therefore,

Also, since AC || BD, we know that ∆WYX and ∆WZX have the SAME HEIGHT

as greenlight pointed already out.

Hope this helps.

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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 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.
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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 19 Dec 2018, 01:01
Thank you.

Apologies for still asking a dumb question, but what is stopping the diagram from actually being something like this:
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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 19 Dec 2018, 06:30
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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
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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 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.

Cheers,
Brent


Thanks Brent!
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Re: In the figure above, line segments AC and BD are parallel. [#permalink] New post 11 Jan 2019, 16:22
zizzi wrote:
Thank you.

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

Great view.
Re: In the figure above, line segments AC and BD are parallel.   [#permalink] 11 Jan 2019, 16:22
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In the figure above, line segments AC and BD are parallel.

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