Question

Draw the reflection of the following triangle over the line n.

Answer 1

Explanation:

The distance from the line is the same on the other side. So, it you go down two from the line of reflection. Then you will go up two of the other side.

Answer 2

A graph of the triangle and its image after a reflection in the line n is shown on the coordinate plane in the image below.

In Mathematics and Euclidean Geometry, a reflection across the line y = k and y = -2 can be modeled by the following transformation rule:

(x, y) → (x, 2k - y)

(x, y) → (x, -4 - y)

By applying a reflection across the line y = -2 to the coordinates of the pre-image (triangle), we have the following image coordinates;

(x, y) → (x, -4 - y)

Point (4, -4) → (4, -4 + 4) = (4, 0)

Point (1, -5) → (1, -4 + 5) = (1, 1)

Point (8, -8) → (8, -4 + 8) = (8, 4)