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# The point that bisects the line depicted in the figure above is:

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Math Expert
Joined: 02 Sep 2009
Posts: 55709
The point that bisects the line depicted in the figure above is:  [#permalink]

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11 Jun 2019, 01:49
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Difficulty:

55% (hard)

Question Stats:

55% (01:45) correct 45% (01:37) wrong based on 33 sessions

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The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)

Attachment:

image521.jpg [ 3.63 KiB | Viewed 397 times ]

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Joined: 28 Apr 2019
Posts: 28
Re: The point that bisects the line depicted in the figure above is:  [#permalink]

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11 Jun 2019, 02:00
By property of similar triangles, we can visualize a smaller right angled triangle with in a larger right angled triangle with the depicted line as hypotenuse.

Hence, the opposite sides and adjacent sides of the smaller triangle will be half as much as the larger one.

With coordinates from Option "A", it is possible to visualize.

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Joined: 20 Jul 2017
Posts: 263
The point that bisects the line depicted in the figure above is:  [#permalink]

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11 Jun 2019, 06:30
2
Bunuel wrote:

The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)

Attachment:
image521.jpg

The only point on the line segment that would bisect it is its mid point

--> Midpoint of 2 points (x1, y1) and (x2, y2) = ($$\frac{(x1 + x2)}{2}$$, $$\frac{(y1 + y2)}{2}$$)

--> Midpoint of (0, -1.5) and (2.5, 3) = ($$\frac{(0 + 2.5)}{2}$$, $$\frac{(-1.5 + 3)}{2}$$)
= (1.25, 0.75)

IMO Option A

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2892
Re: The point that bisects the line depicted in the figure above is:  [#permalink]

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12 Jun 2019, 03:07
Solution

To Find:
• The point that bisects the line depicted in the figure

Approach & Working Out:
• The point that bisects the line depicted in the figure = the mid-point of the line = $$\frac{(0 + 2.5)}{2}, \frac{( -1.5 + 3)}{2} = (1.25, 0.75)$$

Hence, the correct answer is Option A
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Re: The point that bisects the line depicted in the figure above is:  [#permalink]

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14 Jun 2019, 09:31
Bunuel wrote:

The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)

Attachment:
image521.jpg

We use the midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2). The point that bisects the line is (2.5 + 0)/2, (3 - 1.5)/2 = (1.25, 0.75).

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Re: The point that bisects the line depicted in the figure above is:   [#permalink] 14 Jun 2019, 09:31
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