LA: If a leg and an acute angle of one right triangle are congruent to the
corresponding leg and angle of another right triangle, then the triangles are congruent.
1. Right triangles ABC and DEF with 1. Given.
right angles /
C and / F.
CASE 1:
2. / A = / D. 2. Given.
3. / C = / F. 3. All right angles are equal.
4. AC = DF. 4. Given.
5. Triangle ABC = Triangle DEF. 5. ASA
CASE 2:
2. / A = / D. 2. Given.
3. / C = / F. 3. All right angles are equal.
4. BC = EF. 4. Given.
5. Triangle ABC = Triangle DEF. 5. AAS