Divya Ann Chacko wrote:In the figure above, the point on segment PQ that is twice as far from P(0,-1) as from Q(3,2) is
a) (3,1)
b) 2,1
c) 2,-1
d) 1.5,0.5
e) 1,0
DRAW your own figure and plot the answer choices:
Only B is both on PQ and farther from P than from Q.
The correct answer is
B.
An alternate approach is to draw SIMILAR TRIANGLES.
For the DIAGONAL distance from P to be twice that from Q, the HORIZONTAL and VERTICAL distances from P must also be twice those from Q.
The result is the following figure:
Adding 2 to both the x-coordinate and the y-coordinate of P, we get:
(0+2, -1+2)
(2,1).
The correct answer is
B.
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