A triangle is formed by A(0,1), B(1,0), and C(2,4). If the triangle is rotated 90 degrees counterclockwise, which algebraic representation would be used? Select one: 0 (2, y) + (-1, - y)

O (, y) + (y, - 2)

0 (2,y) → ( - 1, y)

0 (2,y) → ( - y, z)​

Step-by-step explanation:

Given

90 degrees counterclockwise rotation

Required

The algebraic representation

Let the coordinate point be

The rule of 90 degrees counterclockwise rotation is:

So, we have:

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

a = 11 : 4

b = 38

c = 1 for every 6