Question

I NEED HELP!!!Figure ABCD is transformed to obtain figure A'B'C'D':
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answer 1

this is the pic it came with.

Answer 2

If anyone could help please!

Answer 3

What do you notice first? Is there a reflection or a rotation involved?

Answer 4

I think rotation?? but I really don't know. not even totter can help me. and she's a teacher!

Answer 5

I think I know part A. It is reflected across the y axis. So, the coordinates would be changed from (x,y) to (-x,y).
And since the x is already negative, the double -ve will make it positive. am I right?

Answer 6

Yes correct there is a reflection and the double negative will turn to a positive :) So you have the first part done correctly so what are the new points after the reflection?

Answer 7

A= (4,4)
B= (2,2)
C= (2,-1)
D= (4,1)
I think?

Answer 8

Nice :) Now we once we plot these new points we see that the next move is a translation, we also see that it would translate `vertically down` so the only value that will change is `y` so how many units down does `A(4,4) to A'(4,1)`?

\(\huge\bf{4-1=?}\)

Answer 9

3? Im not vary good at math...

Answer 10

Yes that is right :)

So the rule is...

\(\huge\bf{(x,y) \rightarrow (-x,y) \rightarrow (-x,y-3)}\)

So we reflect across the y-axis and then translate vertically down 3 units.

Answer 11

Since we only had a reflection and a translation the two shapes are still congruent to each other.

Answer 12

If im right.The two shapes are congruent because they have the same shape and same size. Both did not change. Im done with this question but I still need some help with a ether question. can you help me?

Answer 13

Yes you are correct :) Im sorry but I have to take my leave for today maybe @3mar can help you ^.^

Answer 14

ok thank you vary much for the help!! :)

Answer 15

Welcome!

2 mins plz

Answer 16

ok thanks. im done with this question I started a new one if you could please go to that one.

Answer 17

Ok
as you wish