1. Homework: p.322: 5-15 4-5: LL, HA, LA, HL Objectives
Use the right triangle congruence theorem to prove relationships in geometric figures
Vocabulary: None
They call me Mr. Pig!

2. Concept: Right Triangle Congruence TheoremsLL HA LA HL

3. Example 1: Choosing the Correct Postulate
Look at each figure and determine which, if any, of the Right Triangle Congruence Theorems can be used. B HL A No LA C

4. Student Led Example 1: Choosing a Postulate
Choose the correct postulate for each situation HA A B C LL HL
Not congruent HA D F LL E

5. Student Led Example 1: What’s MissingB
State the congruence statement needed
𝐷𝐸 ≅ 𝑈𝑉
𝑀𝐿 ≅ 𝑀𝐻 B A LL HA
∠𝐶≅∠𝐼 OR ∠𝐵≅∠𝐽
𝐹𝐸 ≅ 𝑉𝐸 OR 𝐷𝐹 ≅ 𝑇𝑉 C D LA LA

6. Example 2: Right Triangle Proofs
Given: 𝑅𝑆 ≅ 𝑇𝑉 , 𝑅𝑆 ⊥ 𝑆𝑇 , 𝑇𝑉 ⊥ 𝑉𝑊 , 𝑇 is the midpoint of 𝑅𝑊 Prove: ∠𝑅𝑇𝑆≅∠W
Statements
Reasons
𝑅𝑆 ≅ 𝑇𝑉 , 𝑅𝑆 ⊥ 𝑆𝑇 , 𝑇𝑉 ≅ 𝑉𝑊 ,
𝑇 is the midpoint of 𝑅𝑊
Given
Def. of Midpoint
𝑅𝑇 ≅ 𝑇𝑊 HL
Δ𝑆𝑅𝑇≅Δ𝑉𝑇𝑊
CPCTC
∠𝑅𝑇𝑆≅∠𝑊

7. Student Led Example 2: Right Triangle Proofs
Given
𝑫 is the midpoint of 𝑪𝑬
𝑪𝑫 ≅ 𝑫𝑬
Given
𝜟𝑩𝑫𝑪≅𝜟𝑭𝑫𝑬 HL

8. End of Lesson

9. End of Lesson a. HL shows that Δ𝐴𝐵𝐷≅Δ𝐶𝐵𝐷 c. Yes, CPCTC
b. Yes, SSS if the Pythagorean Thm is used to show 𝐴𝐷 ≅ 𝐶𝐷
c. Yes, CPCTC