Question

reflect the figure over the line $x = 2$. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Identify original points

Original vertices: $(5,3)$, $(7,5)$, $(9,4)$, $(8,2)$

Step2: Use reflection formula for $x=2$

For a point $(x,y)$, reflection over $x=a$ is $(2a-x,y)$. Here $a=2$, so formula is $(4-x,y)$.

Step3: Calculate each reflected point

1. For $(5,3)$: $x' = 4-5=-1$, $y'=3$ → $(-1,3)$
2. For $(7,5)$: $x' = 4-7=-3$, $y'=5$ → $(-3,5)$
3. For $(9,4)$: $x' = 4-9=-5$, $y'=4$ → $(-5,4)$
4. For $(8,2)$: $x' = 4-8=-4$, $y'=2$ → $(-4,2)$

Answer:

The reflected figure has vertices at $(-1,3)$, $(-3,5)$, $(-5,4)$, $(-4,2)$ (plot these points on the grid to form the reflected shape).