Hurry ! triangle rst is translated 2 units left and then reflected over the y-axis.

i cant post the pictures but the points are on s(-4,4) t(-1,4) r(-1,1)

which transformations of rst will result in the same image? check all that apply.

a reflection over the y-axis and then a translation 2 units right

a 180 rotation about the origin, then a translation 2 units right, and then a reflection

over the x-axis

a reflection over the y-axis and then a translation 2 units left

a 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis

a reflection over the x-axis and then a translation 2 units right

a reflection over the x-axis and then a translation 2 units left

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

and then reflected over the y-axis,

The relation between image and preimage is

                         ..... (1)

The vertices of image are

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

1 and 2 are the correct answers.

Step-by-step explanation:

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step-by-step explanation: