Question

The vertices of a rectangle are R(-5, -5), S(-1, -5), T(-1, 1), and U(-5, 1). a translation, R to the point (-4,2). find the translation rule and the image of U

Answer 1

R goes from (-5,-5) to (-4,2)

Answer 2

So

-5+x = -4
x = -4 + 5
x = 1

Answer 3

and

-5+y = 2
y = 2 + 5
y = 7

Answer 4

therefore, the rule is

(x,y) ---> (x+1, y+7)

Answer 5

which means you add 1 to the x coordinate and add 7 to the y coordinate

Answer 6

wow thanks but thats not a multiple chocie the choices are

Answer 7

i know, you use that rule to find the point U after you move it with that rule

Answer 8

T<-1,7>(RSTU);(-6,8)
T<1,7>(RSTU); (-4,8)
T<1,-7>(RSTU);(-4,-6)
T<-1,-7) (RSTU);(-6,-6)

Answer 9

oh ok

Answer 10

I Think the answer is C

Answer 11

(x,y) ---> (x+1, y+7)

is the same as saying

T<1, 7>

Answer 12

T<1,7> is a shorter way of saying (x,y) ---> (x+1, y+7)

Answer 13

OHHHHHHH B!?

Answer 14

T<1,7> says

take any point and move it

1 unit to the right

and 7 units up

Answer 15

yep

Answer 16

WOW THANKKKKSS SO MUCH! BEEN STUCK ON THIS FOR 40 MIINUTES :O LIFE SAVER!

Answer 17

glad to be of help

Answer 18

CAN YOU help me with one more?

Answer 19

sure, one more

Answer 20

What translation rule can be used to describe the result of the composition of T<-5,-3>(x,y) and T<-7,-1>(x.y_

Answer 21

)*

Answer 22

T<-5,-3> means "move left 5 units and down 3 units"

Answer 23

T<-7,-1> means "move left 7 units and down 1 unit"

Answer 24

combine the two to get

T<-5,-3>+ T<-7,-1>

T<-5 + (-7), -3 + (-1)>

T<-12, -4>

Answer 25

right :)

Answer 26

notice how I'm just adding corresponding components

Answer 27

wow thats a piece of cake !!

Answer 28

so you can combine the two rules to get

T<-12, -4>

which says "move 12 units left, then 4 units down"

and that saves you time from having to state the two rules

Answer 29

T(-12,-4> (x,y) :D

Answer 30

yep

Answer 31

thanks for helping! have a good evening :Dx