Mathematics, 22.06.2019 12:30 izzyp619

What is the image of (1, -6) for a 180° counterclockwise rotation about the origin? a( -1,-6) b( -1,6) c(6,1) d( -6,-1)

Answers: 2

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Answer from: yaaaaa31gghgf

option b

Step-by-step explanation:

It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:

(x,y) → (-x,-y)

Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.

Then, the image is:

(1,-6) → (-(1),-(-6))=(-1,6)

Answer from: angelteddy033

The correct answer option is b. ( -1, 6).

Step-by-step explanation:

We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.

The rule for rotating a point 180 degrees counterclockwise is:

(x, y) ---> (-x, -y)

So for the given point, the coordinates of the image will be:

(1, -6) ---> (-1, -(-6)) ---> (-1, 6)

Answer from: janyha212

(1, -6) rotated 180° counterclockwise about the origin, is (-1, 6).

If there is supposed to be an image, we can’t see it.

Answer from: ricksterv5000

Option 'b' is correct.

Step-by-step explanation:

Since we have given that

(1,-6) is the given coordinate.

As we have to rotate 180° counterclockwise.

Then, it will go to the second quadrant.

And we know that in II nd quadrant, x- axis is in the negative side and y-axis is in the positive side.

So, The image of (1,-6) becomes (-1,6)

Hence, Option 'b' is correct.

Answer from: queenkimm26

B. (6,-1)

Step-by-step explanation:

Answer from: brandistrothma

When a point is rotated 180 degrees about the origin, the following transformation of the point occurs:

$(x,y) \rightarrow (-x,-y)$

This basically means that you will flip the positive/negative signs for x and y:

x = 1

x' = -1

y = -6

y' = 6

$(1,-6) \rightarrow \boxed{(-1,6)}$

The image will be (-1, 6).

Answer from: fseftrwer4378

When a point is rotated 180 degrees about the origin, the following transformation of the point occurs:

$(x,y) \rightarrow (-x,-y)$

This basically means that you will flip the positive/negative signs for x and y:

x = 1

x' = -1

y = -6

y' = 6

$(1,-6) \rightarrow \boxed{(-1,6)}$

The image will be (-1, 6).

Answer from: s11074739

B,because you do the opposite

Answer from: liqliq223

The one with point (-1,6)
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?

Answer from: iamasia06

The one with point (-1,6)
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?

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What is the image of (1, -6) for a 180° counterclockwise rotation about the origin? a( -1,-6) b( -...