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

Question

https://gmatclub.com/forum/download/file.php?id=48324 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) image521.jpg

Shorub · Answer

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.

Posted from my mobile device

CareerGeek · Answer

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

Pls Hit Kudos if you like the solution

EgmatQuantExpert · Answer

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

ScottTargetTestPrep · Answer

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).

Answer: A

Bunuel · Answer

Official Explanation

The midpoint between any two points is found by averaging the two points' x-coordinates and their y-coordinates. (This can be proved from the Pythagorean Theorem, which also gives us the distance between two points in the coordinate plane.) The average of 2.5 and 0 is 1.25, so that is the x-coordinate of the midpoint. The average of 3 and -1.5 is 0.75.  The answer is (A).

Another approach here would be two find the equation of the line in the form y = mx + b. You can determine the slope m from the rise over run between the two points. The y-intercept b is -1.5. Then you could find the point on the line that is halfway along the run, at an x-value of 1.25, and you would find that at that x-value, y = 0.75.

Again, the correct answer is (A).

Bunuel · Answer

Video Explanation

3CluOftEJXA

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards