1. **Problem statement:** We want to determine the shape obtained by cutting a pyramid vertically in half such that each half retains 2 original faces intact, and the cut face is a vertical triangle with angles 90°, 45°, and 45°. 2. **Understanding the pyramid and the cut:** A pyramid typically has a polygonal base and triangular faces meeting at the apex. Cutting it vertically through the apex and base centerline creates two halves. 3. **Shape of the cut face:** The cut face is described as a triangle with one 90° angle and two 45° angles, which is a right isosceles triangle. 4. **Resulting shape:** Each half of the pyramid will have: - Two original triangular faces intact. - One new triangular face from the cut, which is a right isosceles triangle. - The base of each half is a right isosceles triangle (since the base is cut along a line creating two right isosceles triangles). 5. **Conclusion:** The shape of each half is a smaller pyramid with a right isosceles triangular base and three triangular faces (two original and one cut face). This is a right triangular pyramid (a tetrahedron) with a right isosceles triangle base. **Final answer:** Cutting the pyramid vertically as described results in two right triangular pyramids (tetrahedrons) each having a right isosceles triangle as the base and three triangular faces.