Maths-
General
Easy
Question
In the xy-plane above, if point F (not shown) is placed so that triangle ABC is similar to triangle 
, which of the following could be the coordinates of the point F ?
- (3, -6)
- (4, -10)
- (6, -7)
- (6, -1)
The correct answer is: (4, -10)
given,ΔABC is similar to ΔDFE
Step 1: - find the length respective sides of triangles
So, 
AB = 
BC = 
CA = 
DE = 
Step 2:- find the lengths of DF and FE using similar triangles property
Step 3:- find FE and DF in term of assumed point (a,b)
Let the point F be (a,b)
So FE = 
So DF = 
Step 4:-OPTION checking
A. (3,-6) =(a,b) for DF = 
B. (4,-10) =(a,b) for
DF = 
FE = 
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