Question

1. select all the figures that could represent an image of the given figure after one reflection over a horizontal or vertical line through its center.
2. a triangle with vertices at (-6, 5), (-5, 1), and (-8, 2) is reflected over the y - axis. what are the coordinates of the vertices of the image?

preimage\tcoordinates
(-6, 5)\t
(-5, 1)\t
(-8, 2)\t
image\tcoordinates

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to each vertex

For vertex $(-6,5)$: Applying the rule $(-6,5)\to(6,5)$.
For vertex $(-5,1)$: Applying the rule $(-5,1)\to(5,1)$.
For vertex $(-8,2)$: Applying the rule $(-8,2)\to(8,2)$.

Answer:

The coordinates of the vertices of the image are $(6,5),(5,1),(8,2)$