Question

transformations transformations unit test item 17 item 18 item 19 item 20 complete the equations identifying both lines of reflection that will flip the given figure onto itself. (2 points)

Explanation:

Step1: Find the vertical line of symmetry

The figure is symmetric about a vertical line passing through the mid - point of the horizontal distance between points A and B (or D and C). The x - coordinate of the mid - point between A(-4,3) and B(5,3) is $\frac{- 4 + 5}{2}=\frac{1}{2}=0.5$. So the equation of the vertical line of reflection is $x = 0.5$.

Step2: Find the horizontal line of symmetry

The figure is symmetric about a horizontal line passing through the mid - point of the vertical distance between points A and D (or B and C). The y - coordinate of the mid - point between A(-4,3) and D(-4,-2) is $\frac{3+( - 2)}{2}=\frac{1}{2}=0.5$. So the equation of the horizontal line of reflection is $y = 0.5$.

Answer:

$x = 0.5$, $y = 0.5$