Question

1. triangle abc will be rotated 90 degrees clockwise about the origin. what will be the coordinates of b? b(_,_)

Explanation:

Step1: Identify B's coordinates

From the graph, B has coordinates (-2, 5).

Step2: Apply 90 - degree clockwise rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$. For point B(-2, 5), substituting $x=-2$ and $y = 5$ into the rule, we get the new coordinates.

Step3: Calculate new coordinates

When $x=-2$ and $y = 5$, the new $x$ - coordinate is $y = 5$ and the new $y$ - coordinate is $-x=-(-2)=2$.

Answer:

$(5,2)$