Corresponding altitudes of congruent triangles are congruent.
1. Triangle ABC = Triangle DEF. 1. Given.
2. Draw altitudes BP and EG. 2. Definition of altitude.
3. / BPA and / EGD are right angles. 3. Definition of altitude.
4. Triangle ABP and DEG are right triangles. 4. Definition of right triangle.
5. AB = DE. 5. Corresponding Parts Theorem.
6. / A = / D. 6. Corresponding Parts Theorem.
7. Triangle ABP = Triangle DEG 7. HA, Hypotenuse/Angle Theorem.
8. BP = EG. 8. Corresponding Parts Theorem.