4.9. HL Triangle Congruence http://www.ck12.org
TABLE4.17:(continued)
Statement Reason- (6.) Given
4.∆ACD∼=∆DCE (7.) 
Based on the following details, are the two right triangles definitively congruent?
- The hypotenuses of two right triangles are congruent.
 - Both sets of legs in the two right triangles are congruent.
 - One set of legs are congruent in the two right triangles.
 - The hypotenuses and one pair of legs are congruent in the two right triangles.
 - One of the non right angles of the two right triangles is congruent.
 - All of the angles of the two right triangles are congruent.
 - All of the sides of the two right triangles are congruent.
 - Both triangles have one leg that is twice the length of the other.