Question

the coordinates of the vertices of a triangle are a (5, -4), b (5, 4), and c (-5, 3). triangle abc is reflected across the y - axis to create triangle abc. what are the coordinates of the vertices of triangle abc?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the y - axis, the rule is $(-x,y)$.

Step2: Find coordinates of A'

For point A$(5, - 4)$, applying the rule $(-x,y)$, we get $A'(-5,-4)$.

Step3: Find coordinates of B'

For point B$(5,4)$, applying the rule $(-x,y)$, we get $B'(-5,4)$.

Step4: Find coordinates of C'

For point C$(-5,3)$, applying the rule $(-x,y)$, we get $C'(5,3)$.

Answer:

$A'(-5,-4)$, $B'(-5,4)$, $C'(5,3)$