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Triangle A is rotated 180° counterclockwise about the origin. Which figure is the transformed figure? plz help ill mark u as brainlies

Triangle A is rotated 180 counterclockwise about the origin Which figure is the transformed figure plz help ill mark u as brainlies class=
Triangle A is rotated 180 counterclockwise about the origin Which figure is the transformed figure plz help ill mark u as brainlies class=
Triangle A is rotated 180 counterclockwise about the origin Which figure is the transformed figure plz help ill mark u as brainlies class=

Respuesta :

Answer:

B

Step-by-step explanation:

When you rotate a figure 180° counterclockwise or clockwise, you get the same result, the effect you get on each point you rotate is

(x′, y′) = (-x, -y)

You can look at the triangle as 3 points, A(1, -3), B(3, -1) and C(3, -5)

So the new points using the previous formula would be

A′ = (-1, 3)

B′ = (-3, 1)

C′ = (-3, 5)

so the answer is option B

Answer:

B

Step-by-step explanation:

Under a counter clockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y )

Consider the coordinates of the vertices of triangle A

(3, - 1 ) → (- 3, 1 )

(- 3, 5 ) → (- 3, 5 )

(1, - 3 ) → (- 1, 3 )

The image coordinates match those of Triangle B

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