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

see explanation

Step-by-step 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 )

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

it would be a on edgenuit y

the diagram below is your final answer