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Need help with following question-example-1
User Agnsaft
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Answer: Choice D

===================================================

Step-by-step explanation

The translation vector MN is <3, -4>

It is the same as writing
(\text{x},\text{y})\to(\text{x}+3,\text{y}-4) which means "shift 3 units right, and 4 units down".

We apply this translation rule to each point J, K, and L.

Let's do so to point J.


(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(-1,2)\to(-1+3,2-4)\\\\(-1,2)\to(2,-2)\\\\

J(-1,2) moves to J ' (2, -2)

This narrows the answer to choices B, C, or D.

Follow similar steps for point K.


(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(-2,-1)\to(-2+3,-1-4)\\\\(-2,-1)\to(1,-5)\\\\

K(-2,-1) moves to K ' (1, -5)

Therefore, the answer is choice D

For the sake of completeness, let's move point L.


(\text{x},\text{y})\to(\text{x}+3,\text{y}-4)\\\\(2,1)\to(2+3,1-4)\\\\(2,1)\to(5,-3)\\\\

L(2,1) moves to L ' (5, -3)

This matches with answer choice D as well.

Check out the diagram below.

Need help with following question-example-1
User Cactusbone
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