Reflections

Reflect points over other points, segments, or lines.

---

reflect

def reflect(
    pt: Point,
    over: Point | Line | Segment,
    label: str = "",
    *,
    label_dir: str = "NE",
    color: str = "black",
) -> Point

Create a reflection of a point.

Parameters:

Name	Type	Default	Description
pt	Point	required	Point to reflect
over	Point \| Line \| Segment	required	Point, line, or segment to reflect over
label	str	""	Display label (empty for hidden point)
label_dir	str	"NE"	Direction for label placement
color	str	"black"	Color for the point

Returns: A Point with Reflection construction.

Reflection Types

• Over a point: The result is the point such that the mirror point is the midpoint of the original and reflected points.
• Over a line/segment: The result is the mirror image across the line.

Example

"""Reflect example - point reflection over point, segment, and line."""

from geolet import autofigure, line, point, reflect, segment


@autofigure
def reflect_():
    A = point(1, 1, "A", label_dir="SW")

    # Reflect over a point
    O = point(2.5, 1.5, "O", label_dir="S", color="red")
    A_1 = reflect(A, O, label="A_1", label_dir="NE", color="red")

    # Reflect over a segment
    P = point(5, 0, "P", label_dir="S")
    Q = point(5, 3, "Q", label_dir="N")
    pq = segment(P, Q, color="blue")
    A_2 = reflect(A, pq, label="A_2", label_dir="E", color="blue")

    # Reflect over a line
    R = point(0, 4, "R", label_dir="W")
    S = point(6, 4, "S", label_dir="E")
    rs = line(R, S, color="green", style="dashed")
    A_3 = reflect(A, rs, label="A_3", label_dir="N", color="green")

    seg_A_A1 = segment(A, A_1, color="red", style="dashed")