In the rectangular coordinate system above, the line
y = x is the perpendicular bisector of segment AB (not
shown), and the x-axis is the perpendicular bisector of
segment BC (not shown). If the coordinates of point A
are (2,3), what are the coordinates of point C ?
(A) (–3,–2)
(B) (–3,2)
(C) (2,–3)
(D) (3,–2)
(E) (2,3)
Just draw a picture of what is being described. A perpendicular bisector:
-- intersects at the midpoint
-- forms a right angle
Here's my rudimentary drawing:
Looking at the drawing above, we can see that point C must have a positive x-coordinate and a negative y-coordinate.
Eliminate A, B and E.
Since point C is further to the right than is point A, the x-coordinate of point C must be greater than 2.
Eliminate C.
The correct answer is
D.
Check here for a similar problem:
https://www.beatthegmat.com/grockit-toug ... 74452.htmlPrivate tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
