diff --git a/modin/core/storage_formats/base/query_compiler.py b/modin/core/storage_formats/base/query_compiler.py
index 752599df5b4..343008d2a3d 100644
--- a/modin/core/storage_formats/base/query_compiler.py
+++ b/modin/core/storage_formats/base/query_compiler.py
@@ -135,8 +135,6 @@ class BaseQueryCompiler(
     lazy_column_count : bool, default False
         True if the backend defers computations of the number of columns (`len(df.columns)`).
         Used by the frontend to avoid unnecessary execution or defer error validation.
-    lazy_shape : bool
-        True if either lazy_row_count or lazy_column_count is True.
     _shape_hint : {"row", "column", None}, default: None
         Shape hint for frames known to be a column or a row, otherwise None.
 
@@ -218,6 +216,15 @@ def default_to_pandas(self, pandas_op, *args, **kwargs) -> Self:
 
     @property
     def lazy_shape(self):
+        """
+        Whether either of the underlying dataframe's dimensions (row count/column count) are computed lazily.
+
+        If True, the frontend should avoid length/shape checks as much as possible.
+
+        Returns
+        -------
+        bool
+        """
         return self.lazy_row_count or self.lazy_column_count
 
     _shape_hint = None
diff --git a/modin/core/storage_formats/pandas/query_compiler.py b/modin/core/storage_formats/pandas/query_compiler.py
index 124486a786d..3581516a638 100644
--- a/modin/core/storage_formats/pandas/query_compiler.py
+++ b/modin/core/storage_formats/pandas/query_compiler.py
@@ -277,22 +277,67 @@ def __init__(self, modin_frame: PandasDataframe, shape_hint: Optional[str] = Non
 
     @property
     def lazy_row_labels(self):
+        """
+        Whether the row labels are computed lazily.
+
+        Equivalent to `not self.frame_has_materialized_index`.
+
+        Returns
+        -------
+        bool
+        """
         return not self.frame_has_materialized_index
 
     @property
     def lazy_row_count(self):
+        """
+        Whether the row count is computed lazily.
+
+        Equivalent to `not self.frame_has_materialized_index`.
+
+        Returns
+        -------
+        bool
+        """
         return not self.frame_has_materialized_index
 
     @property
     def lazy_column_types(self):
+        """
+        Whether the dtypes are computed lazily.
+
+        Equivalent to `not self.frame_has_materialized_dtypes`.
+
+        Returns
+        -------
+        bool
+        """
         return not self.frame_has_materialized_dtypes
 
     @property
     def lazy_column_labels(self):
+        """
+        Whether the column labels are computed lazily.
+
+        Equivalent to `not self.frame_has_materialized_columns`.
+
+        Returns
+        -------
+        bool
+        """
         return not self.frame_has_materialized_columns
 
     @property
     def lazy_column_count(self):
+        """
+        Whether the column count is are computed lazily.
+
+        Equivalent to `not self.frame_has_materialized_columns`.
+
+        Returns
+        -------
+        bool
+        """
         return not self.frame_has_materialized_columns
 
     def finalize(self):
@@ -1803,9 +1848,7 @@ def get_unique_level_values(index):
             new_index = (
                 get_unique_level_values(index)
                 if consider_index
-                else index
-                if isinstance(index, list)
-                else [index]
+                else index if isinstance(index, list) else [index]
             )
 
             new_columns = (