Question

The verticals of a triangle are A(1,1) B(1,4) C(3,1). Rotate the triangle 180° about the origin. What are the coordinates of the image

Answer 1

The image of vertex B or the image of Vertex C are:

B '(2, -1)

C '(3, 2)

Explanation:

For this case we have the following vertices:

A (-1,1) --------> A '(3, -1)

B (-2.1)

C (-1,4)

We note that the translation rule is:

(x, y) -----------> (x + 4, y-2)

Applying the translacion rule we have:

B (-2, 1) -----------> (-2 + 4, 1-2) ------> B '(2, -1)

C (-1, 4) -----------> (-1 + 4, 4-2) ------> C '(3, 2)

Answer 2

see explanation

Explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

A(1, 1 ) → A'(- 1, - 1 )

B(1, 4 ) → B'(- 1, - 4 )

C(3, 1 ) → C'(- 3, - 1 )