Question

Name: Lucy Leander

Geometry Review Unit 3-Transformations
Learning Target 3K: I use a reflection to transform a geometric figure
1. Given the point K(-2,8), what are the coordinates of K' after being, reflected across the line x = 27
2. Given H(5,-3) and H'(5,3), what reflection will map H onto H'? Circle one option.
K'(.

Answer 1

1. The coordinates of K' after being reflected across the line x = 27 are (2,8). 2. The reflection that maps H onto H' is a vertical reflection.

Step-by-step explanation:

1. To reflect a point across a vertical line, we change the x-coordinate of the point to its opposite sign but keep the y-coordinate the same.

So, for point K(-2,8) reflected across the line x = 27, the x-coordinate changes to -(-2) = 2, and the y-coordinate remains the same. Therefore, the coordinates of K' are (2,8).

2. To determine the reflection that maps point H to point H', we compare the y-coordinates of the two points. Since the y-coordinates differ by 6 (from -3 to 3), the reflection must occur across the x-axis. Therefore, the reflection that maps H onto H' is a vertical reflection, which is denoted by the letter K’.

Learn more about Reflection in Geometry