diff --git a/cpp/src/pdlp/termination_strategy/convergence_information.cu b/cpp/src/pdlp/termination_strategy/convergence_information.cu
index 6dbe20ecc6..685870b699 100644
--- a/cpp/src/pdlp/termination_strategy/convergence_information.cu
+++ b/cpp/src/pdlp/termination_strategy/convergence_information.cu
@@ -915,7 +915,10 @@ void convergence_information_t<i_t, f_t>::compute_dual_residual(
     stream_view_);
 
   if (hyper_params_.use_reflected_primal_dual) {
-    cub::DeviceTransform::Transform(cuda::std::make_tuple(tmp_primal.data(), dual_slack.data()),
+    cuopt_assert(reduced_cost_.size() == dual_slack.size(),
+                 "reduced_cost_ size must be equal to dual_slack size");
+    raft::copy(reduced_cost_.data(), dual_slack.data(), reduced_cost_.size(), stream_view_);
+    cub::DeviceTransform::Transform(cuda::std::make_tuple(tmp_primal.data(), reduced_cost_.data()),
                                     dual_residual_.data(),
                                     dual_residual_.size(),
                                     cuda::std::minus<>{},
diff --git a/cpp/tests/linear_programming/CMakeLists.txt b/cpp/tests/linear_programming/CMakeLists.txt
index 08fd9598c0..144b1998d3 100644
--- a/cpp/tests/linear_programming/CMakeLists.txt
+++ b/cpp/tests/linear_programming/CMakeLists.txt
@@ -4,6 +4,7 @@
 # cmake-format: on
 
 ConfigureTest(LP_UNIT_TEST
+    ${CMAKE_CURRENT_SOURCE_DIR}/unit_tests/lp_solution_test.cu
     ${CMAKE_CURRENT_SOURCE_DIR}/unit_tests/solver_settings_test.cu
     ${CMAKE_CURRENT_SOURCE_DIR}/unit_tests/solution_interface_test.cu
     LABELS numopt)
diff --git a/cpp/tests/linear_programming/unit_tests/lp_solution_test.cu b/cpp/tests/linear_programming/unit_tests/lp_solution_test.cu
new file mode 100644
index 0000000000..acef7326ea
--- /dev/null
+++ b/cpp/tests/linear_programming/unit_tests/lp_solution_test.cu
@@ -0,0 +1,98 @@
+/* clang-format off */
+/*
+ * SPDX-FileCopyrightText: Copyright (c) 2026, NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+ * SPDX-License-Identifier: Apache-2.0
+ */
+/* clang-format on */
+
+#include <cuopt/mathematical_optimization/pdlp/solver_settings.hpp>
+#include <cuopt/mathematical_optimization/solve.hpp>
+
+#include <utilities/copy_helpers.hpp>
+#include <utilities/inline_lp_test_utils.hpp>
+
+#include <raft/core/handle.hpp>
+
+#include <gmock/gmock.h>
+
+#include <tuple>
+#include <vector>
+
+namespace cuopt::mathematical_optimization::test {
+
+using testing::DoubleNear;
+using testing::Pointwise;
+
+using lp_solution_test_param_t = std::tuple<method_t, presolver_t>;
+
+class lp_solution_test : public ::testing::TestWithParam<lp_solution_test_param_t> {};
+
+TEST_P(lp_solution_test, returns_hand_checked_duals_and_reduced_costs)
+{
+  // The LP below has the unique certificate
+  // x = (0.25, 0.5, 0, 1), y = (0.25, 0.5), z = (0, 0, 1, -1), objective = 1.5.
+  //
+  // The leading 2x2 block of A is invertible, and the nonzero reduced costs fix x2 and x3 at
+  // opposite bounds, making both the primal and dual certificates unique.
+  constexpr double solve_tolerance    = 1e-10;
+  constexpr double check_tolerance    = 2e-6;
+  constexpr double expected_objective = 1.5;
+
+  const std::vector<double> expected_primal{0.25, 0.5, 0.0, 1.0};
+  const std::vector<double> expected_dual{0.25, 0.5};
+  const std::vector<double> expected_reduced_cost{0.0, 0.0, 1.0, -1.0};
+  const auto [method, presolver] = GetParam();
+  auto problem                   = cuopt::test::parse_inline_lp(R"LP(
+Minimize
+  obj: 1.5 x0 + 2.25 x1 + 2.25 x2
+Subject To
+  c0: 4 x0 + x1 + x2 + 2 x3 = 3.5
+  c1: x0 + 4 x1 + 2 x2 + x3 = 3.25
+Bounds
+  0 <= x0 <= 1
+  0 <= x1 <= 1
+  0 <= x2 <= 1
+  0 <= x3 <= 1
+End
+)LP");
+
+  pdlp_solver_settings_t<int, double> settings;
+  settings.method                               = method;
+  settings.presolver                            = presolver;
+  settings.crossover                            = false;
+  settings.log_to_console                       = false;
+  settings.tolerances.absolute_primal_tolerance = solve_tolerance;
+  settings.tolerances.relative_primal_tolerance = 0.0;
+  settings.tolerances.absolute_dual_tolerance   = solve_tolerance;
+  settings.tolerances.relative_dual_tolerance   = 0.0;
+  settings.tolerances.absolute_gap_tolerance    = solve_tolerance;
+  settings.tolerances.relative_gap_tolerance    = 0.0;
+
+  const raft::handle_t handle;
+  auto solution = solve_lp(&handle, problem, settings);
+
+  ASSERT_EQ(solution.get_termination_status(), pdlp_termination_status_t::Optimal);
+  const auto& info = solution.get_additional_termination_information();
+  EXPECT_EQ(info.solved_by, method);
+  if (method == method_t::PDLP) {
+    EXPECT_GT(info.number_of_steps_taken, 0)
+      << "PDLP must execute instead of returning a presolve-only solution";
+  }
+
+  const auto primal       = cuopt::host_copy(solution.get_primal_solution(), handle.get_stream());
+  const auto dual         = cuopt::host_copy(solution.get_dual_solution(), handle.get_stream());
+  const auto reduced_cost = cuopt::host_copy(solution.get_reduced_cost(), handle.get_stream());
+
+  EXPECT_THAT(primal, Pointwise(DoubleNear(check_tolerance), expected_primal));
+  EXPECT_THAT(dual, Pointwise(DoubleNear(check_tolerance), expected_dual));
+  EXPECT_THAT(reduced_cost, Pointwise(DoubleNear(check_tolerance), expected_reduced_cost));
+  EXPECT_NEAR(solution.get_objective_value(), expected_objective, check_tolerance);
+}
+
+INSTANTIATE_TEST_SUITE_P(
+  LpMethodsAndPresolvers,
+  lp_solution_test,
+  ::testing::Combine(::testing::Values(method_t::PDLP, method_t::DualSimplex, method_t::Barrier),
+                     ::testing::Values(presolver_t::None, presolver_t::PSLP, presolver_t::Papilo)));
+
+}  // namespace cuopt::mathematical_optimization::test