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

Answer:

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

Step-by-step 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:

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

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

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