Question

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)​

Answer 1

`(x,y) \to (-y,x)`

Explanation:

Given

`A = (0,1)`

`B = (1,0)`

`C = (2,4)`

90 degrees counterclockwise rotation

Required

The algebraic representation

Let the coordinate point be
`(x,y)`

The rule of 90 degrees counterclockwise rotation is:

`(x,y) \to (-y,x)`

So, we have:

`A = (0,1)`
`\to (-1,0)`

`B = (1,0)`
`\to (0,1)`

`C = (2,4)`
`\to (-4,2)`