What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?

Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.

Reflected over the x-axis and rotated 180°

Reflected over the y-axis and rotated 180°

Reflected over the x-axis and rotated 90° counterclockwise

Reflected over the y-axis and rotated 9

Question

What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?

Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.

 Reflected over the x-axis and rotated 180°

 Reflected over the y-axis and rotated 180°

 Reflected over the x-axis and rotated 90° counterclockwise

 Reflected over the y-axis and rotated 9

anonymous · Answer

attachment

anonymous · Answer

@WordGEEK

anonymous · Answer

@e.mccormick

anonymous · Answer

anyone please help

anonymous · Answer

@texaschic101

anonymous · Answer

Hold up I am looking at it.

e.mccormick · Answer

Do you understand the terms they used?   Reflected and and rotated?

anonymous · Answer

i know what they mean by that but my answer does not match

e.mccormick · Answer

Well, what answer did you get?

anonymous · Answer

reflected over the y axis and rotated i80

anonymous · Answer

If you got that isn't the second choice the same as your answer?

e.mccormick · Answer

Yes, that would do that.  It looks like it is jusr reflected over the X, but the Y and 180 cause the same result.

aum · Answer

Oh, "rotated 180 degrees" in the first two choices refer to 180 degree rotation about the origin?

e.mccormick · Answer

Yes.  With transformations, rotation is around the origin unless otherwise specified.

aum · Answer

Then it makes sense.

aum · Answer

IDK why you say the answer doesn't match.
The correct answer is:  Reflected over the y-axis and rotated 180°
For example, start with A.  A is located at negative 4, 1 or (-4,1)
Reflect it over the y-axis.  This will change the sign of the x-coordinate but the y-coordinate will not change.  So the reflection of A would be (4, 1).
Now rotate this 180 degrees about the origin.  This will change the sign of both the x and y coordinates.  Therefore, (4,1) will become (-4,-1) which matches A' located at "negative 4, negative 1".

anonymous · Answer

@TerrelD99

anonymous · Answer

Reflected over the x-axis and rotated 180°

anonymous · Answer

how you get that answer

e.mccormick · Answer

The same way you did.  It is what you said.  Let me show it with images:
|dw:1405370935917:dw|
So that is the start.

e.mccormick · Answer

Flip over the Y
|dw:1405370975765:dw|

e.mccormick · Answer

Rotate 180 degrees.
|dw:1405371018233:dw|