diff --git a/src/ifcopenshell-python/ifcopenshell/util/shape_builder.py b/src/ifcopenshell-python/ifcopenshell/util/shape_builder.py
index 81045bf1fe..ab7c3700b3 100644
--- a/src/ifcopenshell-python/ifcopenshell/util/shape_builder.py
+++ b/src/ifcopenshell-python/ifcopenshell/util/shape_builder.py
@@ -91,6 +91,10 @@ def np_normalized(v: VectorType) -> np.ndarray:
     return np.divide(v, np.linalg.norm(v))
 
 
+def np_lerp(a: VectorType, b: VectorType, t: float) -> np.ndarray:
+    return a + np.subtract(b, a) * t
+
+
 def np_to_3d(v: VectorType, z: float = 0.0) -> np.ndarray:
     """Convert 2D/4D vector to 3D."""
     l = len(v)
@@ -125,6 +129,16 @@ def np_angle(a: VectorType, b: VectorType) -> float:
     return np.arccos(np.dot(a, b) / (np.linalg.norm(a) * np.linalg.norm(b)))
 
 
+def np_angle_signed(a: VectorType, b: VectorType) -> float:
+    """Get signed angle between 2D vectors in radians (clockwise is positive).
+    Designed to work similar to `Vector.angle_signed`.
+    """
+    assert len(a) == 2 and len(b) == 2, "Only 2D vectors are supported."
+    det = a[1] * b[0] - a[0] * b[1]
+    dot = np.dot(a, b)
+    return np.arctan2(det, dot)
+
+
 def np_rotation_matrix(
     angle: float, size: int, axis: Optional[Union[Literal["X", "Y", "Z"], VectorType]] = None
 ) -> np.ndarray:
@@ -165,6 +179,52 @@ def np_rotation_matrix(
     return matrix
 
 
+def np_normal(vectors: SequenceOfVectors) -> np.ndarray:
+    """Normal of 3D Polygon.
+
+    Designed to work similar to `mathutils.geometry.normal`.
+    """
+    assert len(vectors) == 3, "3 vectors required"
+    # TODO: can be optimized?
+    verts_np = np.array(vectors[:3])
+    v0, v1, v2 = verts_np[:3]
+    edge1 = v1 - v0
+    edge2 = v2 - v0
+    normal = np.cross(edge1, edge2)
+    norm = np.linalg.norm(normal)
+    return normal / norm
+
+
+def np_intersect_line_line(
+    v1: VectorType, v2: VectorType, v3: VectorType, v4: VectorType
+) -> tuple[np.ndarray, np.ndarray]:
+    """Get 2 closest points on each line.
+    First line - (v1, v2). Second line - (v3, v4).
+
+    Designed to work similar to `mathutils.geometry.intersect_line_line`.
+    """
+    # TODO: could be optimized?
+    d1 = np.subtract(v2, v1)
+    d2 = np.subtract(v4, v3)
+
+    # Cross product of the directions
+    cross_d1_d2 = np.cross(d1, d2)
+    cross_d1_d2_norm: float = np.linalg.norm(cross_d1_d2)
+
+    # Check if the lines are parallel.
+    if is_x(cross_d1_d2_norm, 0):
+        raise ValueError("Lines are parallel and do not intersect uniquely.")
+
+    r = np.subtract(v3, v1)
+    t = np.dot(np.cross(r, d2), cross_d1_d2) / (cross_d1_d2_norm**2)
+    u = np.dot(np.cross(r, d1), cross_d1_d2) / (cross_d1_d2_norm**2)
+
+    # Closest points on each line
+    point_on_line1 = v1 + t * d1
+    point_on_line2 = v3 + u * d2
+    return point_on_line1, point_on_line2
+
+
 # Note: using ShapeBuilder try not to reuse IFC elements in the process
 # otherwise you might run into situation where builder.mirror or other operation
 # is applied twice during one run to the same element
diff --git a/src/ifcopenshell-python/test/util/test_shape_builder.py b/src/ifcopenshell-python/test/util/test_shape_builder.py
index 650311565b..019fc50d3a 100644
--- a/src/ifcopenshell-python/test/util/test_shape_builder.py
+++ b/src/ifcopenshell-python/test/util/test_shape_builder.py
@@ -20,13 +20,23 @@ import pytest
 import test.bootstrap
 import ifcopenshell.api
 import numpy as np
-from ifcopenshell.util.shape_builder import ShapeBuilder, is_x, np_rotation_matrix, np_to_3d, np_angle, V
+from ifcopenshell.util.shape_builder import (
+    ShapeBuilder,
+    is_x,
+    np_rotation_matrix,
+    np_to_3d,
+    np_angle,
+    V,
+    np_angle_signed,
+    np_normal,
+    np_intersect_line_line,
+)
 from math import degrees, radians
 from typing import Any, Union
 
 
-class TestNumpyRotationMatrix(test.bootstrap.IFC4):
-    def test_run(self):
+class TestMathutilsCompatibleMethods(test.bootstrap.IFC4):
+    def test_np_rotation_matrix(self):
         from mathutils import Matrix, Vector
 
         # 2D.
@@ -47,6 +57,51 @@ class TestNumpyRotationMatrix(test.bootstrap.IFC4):
         rotation_vector_args = radians(45), 4, Vector((1, 1, 1)).normalized()
         assert np.allclose(Matrix.Rotation(*rotation_vector_args), np_rotation_matrix(*rotation_vector_args))
 
+    def test_np_angle(self):
+        from mathutils import Vector
+
+        v1, v2 = (1, 0, 0), (0, 1, 0)
+        angle = np_angle(v1, v2)
+        assert is_x(angle, Vector(v1).angle(Vector(v2)))
+        assert is_x(angle, radians(90))
+
+        v1, v2 = v1[:2], v2[:2]
+        angle = np_angle_signed(v1, v2)
+        assert is_x(angle, Vector(v1).angle_signed(Vector(v2)))
+        assert is_x(angle, -radians(90))
+
+        v1, v2 = (0, 1, 0), (1, 0, 0)
+        angle = np_angle(v1, v2)
+        assert is_x(angle, Vector(v1).angle(Vector(v2)))
+        assert is_x(angle, radians(90))
+
+        v1, v2 = v1[:2], v2[:2]
+        angle = np_angle_signed(v1, v2)
+        assert is_x(angle, Vector(v1).angle_signed(Vector(v2)))
+        assert is_x(angle, radians(90))
+
+    def test_np_normal(self):
+        import mathutils.geometry
+
+        vectors = (0, 0, 0), (1, 0, 0), (0, 1, 0)
+        n = mathutils.geometry.normal(vectors)
+        assert np.allclose(n, np_normal(vectors))
+        assert np.allclose(n, (0, 0, 1))
+
+        vectors = (0, 0, 0), (0, 1, 0), (1, 0, 0)
+        n = mathutils.geometry.normal(vectors)
+        assert np.allclose(n, np_normal(vectors))
+        assert np.allclose(n, (0, 0, -1))
+
+    def test_np_intersect_line_line(self):
+        import mathutils.geometry
+
+        p1, p2 = [0, 0, 0], [1, 1, 1]
+        q1, q2 = [0, 1, 0], [1, 0, 1]
+        expected = mathutils.geometry.intersect_line_line(tuple(p1), tuple(p2), tuple(q1), tuple(q2))
+        result = np_intersect_line_line(p1, p2, q1, q2)
+        assert np.allclose(expected, result)
+
 
 class TestRectangle(test.bootstrap.IFC4):
     def test_get_rectangle_coords(self):