Point d(-3.5) is a vertex of triangle def. after a rotation of the triangle about the origin, d' is located at (3,-5).which of the following was the rotation of the triangle?

note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.

Explanation:

The rule for 180 degree rotations is

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

So the x and y coordinates flip in sign from positive to negative, or vice versa.

Point D ' (-3, 5) rotates to D ' (3, -5) following this rule

A further detailed break down might look like this

x = -3 becomes -x = -(-3) = 3

y = 5 becomes -y = -5

(-3, 5) > (3, -5)

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: