Geometry translations

[rachelmaddie]

Graph the image of each figure under a translation by the given vector.

parallelogram JKLM with vertices J(2,3), K(3, 4), L(1,5), M(0,4); < -4, 1 >

I need hints or an explanation on how to solve this.

 

[Harry_the_cat]

What does the vector < -4, 1 > look like?

 

[Harry_the_cat]

I've noticed you never say please. That would be good manners.

 

[rachelmaddie]

What does the vector < -4, 1 > look like?

I don’t know how to find that.

 

[rachelmaddie]

I've noticed you never say please. That would be good manners.

Please

 

[Harry_the_cat]

A translation vector <a,b> moves a point a units in the x direction and b units in the y direction. The vector can be drawn by joining the origin to the point (a,b) and adding an arrow.

 

[rachelmaddie]

A translation vector <a,b> moves a point a units in the x direction and b units in the y direction. The vector can be drawn by joining the origin to the point (a,b) and adding an arrow.

So how would I find that in the images?

 

[Harry_the_cat]

The tranlation vector is <-4, 1>.
So you move all points ?? units In the x direction and ?? units in the y direction.

 

[rachelmaddie]

The tranlation vector is <-4, 1>.
So you move all points ?? units In the x direction and ?? units in the y direction.

I’ve found the solution.
<-4, 1>
J(2,3) (2-4, 3+1), or J’(-2,4)
K(3,4) (3-4, 4+1), or K’(-1,5)
L(1,5) (1-4, 5+1), or L’(-3,6)
M(0,4) (0-4, 4+1), or M’(-4,5)

 

[rachelmaddie]

I’ve found the solution.
<-4, 1>
J(2,3) (2-4, 3+1), or J’(-2,4)
K(3,4) (3-4, 4+1), or K’(-1,5)
L(1,5) (1-4, 5+1), or L’(-3,6)
M(0,4) (0-4, 4+1), or M’(-4,5)

So, it would be the second image. Correct?

 

[Harry_the_cat]

Very good!!