1. Congruence in Right Triangles
Practice 4-6 (DNG page 327)
Congruence in Right Triangles

2. Practice 4-6 Congruence in Right Triangles
Write a two-column proof.
Statements
Reasons
1. Given
2. B , E are right s.
2.  lines form right s.
3. ABC & DEF are right s.
3. Definition of right s.
4. 𝑨𝑩 ≅ 𝑬𝑫 , 𝑨𝑪 ≅ 𝑭𝑫
4. Given
5. ABC ≅ DEF
5. HL Theorem

3. Practice 4-6 Congruence in Right Triangles
Write a two-column proof.
Statements
Reasons
1. P , R are right s.
1. Given
2. PQS & RSQ are right s.
2. Definition of right s.
3. 𝑷𝑺 ≅ 𝑸𝑹
3. Given
4. Reflexive Prop. of ≅
4. 𝑸𝑺 ≅ 𝑺𝑸
5. PQS ≅ RSQ
5. HL Theorem

4. Practice 4-6 Congruence in Right Triangles
Write a flow proof. X
Given
MJN and MJK are right triangles.
Definition of right s.
Definition of  lines.
Given
HL Theorem
Reflexive Prop. of ≅

5. Practice 4-6 Congruence in Right Triangles
Write a flow proof. 
Given
Reflexive Prop. of ≅
HL Theorem
Given
If two s are ≅ and supplementary, then each is a right angle.
Angle Addition Postulate

6. Practice 4-6 Congruence in Right Triangles
What additional information do you need to prove each pair of triangles
Congruent by HL Theorem? X X X

7. Practice 4-6 Congruence in Right Triangles
What additional information do you need to prove each pair of triangles
Congruent by HL Theorem? X X