Question

the coordinates of the vertices of a triangle are a (5, -4), b (5, 1), and c (1, 6). triangle abc is reflected across the x - axis to create triangle abc. what are the coordinates of the vertices of triangle abc?

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $A'$

For point $A(5,-4)$, applying the rule: $A'(5,-(-4))=(5,4)$.

Step3: Find coordinates of $B'$

For point $B(5,1)$, applying the rule: $B'(5,-1)$.

Step4: Find coordinates of $C'$

For point $C(1,6)$, applying the rule: $C'(1,-6)$.

Answer:

$A'(5,4), B'(5,-1), C'(1,-6)$