Question

1. graph the image if the polygon is reflected across the x - axis

a (1,2)
a:____
algebraic rule:____

1. graph the image if the polygon is reflected across the y - axis

a (1,2)
a:____
algebraic rule:____

Explanation:

Step1: Recall reflection rule for x - axis

When a point $(x,y)$ is reflected across the $x$-axis, the rule is $(x,y)\to(x, - y)$.
Given point $A(1,2)$, applying the rule:
For $x = 1$ and $y=2$, the new $y$-coordinate is $-2$ while $x$ remains the same. So $A'=(1,- 2)$.

Step2: Recall reflection rule for y - axis

When a point $(x,y)$ is reflected across the $y$-axis, the rule is $(x,y)\to(-x,y)$.
Given point $A(1,2)$, applying the rule:
For $x = 1$ and $y = 2$, the new $x$-coordinate is $-1$ while $y$ remains the same. So $A'=(-1,2)$.

Answer:

For reflection across x - axis: $A'(1,-2)$
For reflection across y - axis: $A'(-1,2)$