Question

In the diagram, $KN$ is a straight line. $L$ and $M$ are two points on $KN$ such that $KL=LM$ and $KM=MN$. Find the coordinates of $L$.

• A. $(3,2)$
• B. $(3,4)$
• C. $(4,4)$
• D. $(4,2)$

Answer 1

The correct option is B $(3,4)$

As $KM=MN{\Rightarrow }^{\prime }{M}^{\prime }$ is mid point

$\Rightarrow M=(\frac{12+0}{2},\frac{10+2}{2})=(6,6)$

$KL=LM{\Rightarrow }^{\prime }{L}^{\prime }$ is mid point

$\Rightarrow L=(\frac{6+0}{2},\frac{6+2}{2})=(3,4)$