Question

Help! Fan and medal for best answer! Please hold on while I attach the image.


Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.

a) Write the coordinates of the vertices of the image after reflection.

b) Write a rule for the translation. Use narrow notation.

c) Write the coordinates of the vertices of the new image after translation.

Answer 1

That's the image

Answer 2

A= (1, 3)
B= (4, 5)
C= (3, 1)
right?

Answer 3

now reflection over y-axis , means keep all y co-ordinates same, and flip the sign of all x co-ordinates.
(x,y)→(−x,y)

Answer 4

so
A' = (-1, 3)
B' = (-4, 5)
c' = (-3, 1)
yes or no?

Answer 5

Yes sid is correct

Answer 6

Now we have to move them 1 to the right so we should add 1 to all the x coordinates.and the new coordinates will be= A'= (0, 3) B'(-3, 5) C'(-2, 1).
do u get it so far??

Answer 7

@sidsiddhartha is that part a,b, and c?

Answer 8

part (a)
A' = (-1, 3)
B' = (-4, 5)
c' = (-3, 1)
part (b)
here u have to use the arrow notation so\[(x,y)\rightarrow(-x,y)\]

Answer 9

Yes I got that part

Answer 10

and for part(c)
we have to move them 1 to the right so we should add 1 to all the x coordinates.and the new coordinates will be= A'= (0, 3) B'(-3, 5) C'(-2, 1).

Answer 11

then
we have to move them down two so we should make each y value 2 less.
so now they will be
A'= (0, 1)
B'= (-3, 3)
C'= (-2, -1)
that's all

Answer 12

So part C is A'= (0, 1)
B'= (-3, 3)
C'= (-2, -1)

Answer 13

u can also use a arrow notation for patr (c) like this
(A', B')-->(x+1, y-2)
yup that's ur answer

Answer 14

Thank u

Answer 15

np :)