Question

1. triangle abc has vertices a(-2, 1), b(-1, 4), and c(3, 4). graph the figure and its image after a clockwise rotation of 90° about the origin. then write the coordinates of polygon abc.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Find coordinates of $A'$

For point $A(-2,1)$, applying the rule: $x=-2,y = 1$. So $A'=(1,2)$.

Step3: Find coordinates of $B'$

For point $B(-1,4)$, applying the rule: $x=-1,y = 4$. So $B'=(4,1)$.

Step4: Find coordinates of $C'$

For point $C(3,4)$, applying the rule: $x = 3,y = 4$. So $C'=(4,-3)$.

Answer:

$A'(1,2),B'(4,1),C'(4,-3)$