Question

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the(a.y-axis, b.x-axis, c.line y=x, d.line y=-x) followed by a translation (a.4 units to the right and 10 units up, b. 8 units to the right and 4 units up, c. 10 units to the right and 2 units up, d. 10 units to the right and 4 units up) pls help ive been stuck on this question for days

Answer 1

I cant do this one. Are you sure you have the question right?

Answer 2

Oh hold on . I think the first part is a refection in the line y = x

Answer 3

Yes thats correct
Now what do you think the translation is?

Answer 4

we need to figure out what the coordinates of C' we cant guess them form the diagram i've drawn which is only a rough one.

Answer 5

the line does not pass throughthe origin as ive drawn it.

Answer 6

well when i got help from my teacher he'd said 4 units to the right and 10 units up but i think he may have given me the incorrect answer bcos i got it wrong :/

Answer 7

the point C has coordinates (-4,2) and a reflection of this in the line y=x will be at (2,-4) beacause a line perpendicular to it as equation y = -x

Answer 8

so for this point to get tom C' in your duagram the translation will be 10 units to the right

and how many units up?

Answer 9

* get to

Answer 10

4 units up?

Answer 11

right

Answer 12

AHHH thanks so the answer is line y=x and 10 units to the right and 4 units up?

Answer 13

because we are going from 2 to 12 in x direstion and from -4 to 0 in the y driection

Answer 14

yes

Answer 15

thanks so much!!!!! you really helped

Answer 16

good yw