Question

1.) rotation 180° about the origin J(-3,3), K(-3, 4), L(-2, 4)2.) reflection across x = -1 Q(-2,5)3.) translation: (x, y) to (x - 2), G(-1, 2)IF YOU DONT KNOW PLEASE DON'T ANSWER! if you can explain pleasee do

Answer 1

1) The rule for a 180 ° rotation from the origin is

$(x,y)\rightarrow(-x,-y)$

Then,

$\begin{gathered} J\text{ }\Rightarrow(-3,3)\text{ }\rightarrow(-(-3),-3)=(3,-3) \\ K\text{ }\Rightarrow(-3,4)\text{ }\rightarrow(-(-3),-4)=(3,-4) \\ L\text{ }\Rightarrow(-2,4)\text{ }\rightarrow(-(-2),-4)=(2,-4) \end{gathered}$

2) The rule for reflection about the x-axis is

$(x,y)\rightarrow(x,-y)$

Then

$Q\Rightarrow(-2,5)\rightarrow(-2,-5)$

3) As the statement indicates, we only need to modify the X coordinate of the point. Then

$G\Rightarrow(-1,2)\rightarrow(-1-2,2)=(-3,2)$