Question

The vertices of figure KLMN are K(1, 1), L(4, 1), M(2, 3), and N(5, 3). If KLMN is reflected across the line

y = –1, find the coordinates of vertex L’. Enter your answers in the boxes.

Answer 1

Hence, the resultant coordinates of vertex L' are (4, -3)

Step-by-step explanation:

Answer 2

• The coordinates of the vertex L' are (4, -3).

Step-by-step explanation:

A reflection accross the line y = - 1 will produce images with the same x-coordinate and change the - coordinate.

The y-coordinate of the image will be at the same distance from the line y = - 1 as the pre-image, on the other side of the line.

The vertex L has coordinates (4,1).

1. x-coordinate of L':

• same x-coordinate of (4,1): 4.

2. y-coordinate of L'

i) Determine the distance distance between L(4,1) and y = - 1:

• | 1 - (-1)| = 2

ii) Shift the y-coordinate of the line two units downward (because L is above the line, L' will be below the line). Then subtract 2 from - 1:

• - 1 - 2 = - 3

• Thus, the y-coordinate of L' will be - 3.

Hence, the resultant coordinates of vertex L' are (4, -3)