1. 5.5 Proving Using SSS

2. What We Will Learn Use SSS (side-side-side) Thm
Use HL (hypotenuse-leg) Thm

3. Needed Vocab Legs: sides adjacent to the right angle
Hypotenuse: side opposite the right angle

4. Ex. 1 Using SSS Statement Reason 1. 𝐾𝐿 ≅ 𝑁𝐿 ; 𝐾𝑀 ≅ 𝑁𝑀 1. Given
1. 𝐾𝐿 ≅ 𝑁𝐿 ; 𝐾𝑀 ≅ 𝑁𝑀
1. Given
2. 𝐿𝑀 ≅ 𝐿𝑀
2. Reflex. Prop.
3. △𝐾𝐿𝑀≅△𝑁𝐿𝑀
3. SSS

5. Ex. 3 Using HL Thm Only with right triangles
Soooooo… must say in proof they are right triangles
Which means will have to say has a right angle if not said in given
I separate triangles trying to prove and mark what I know
Statement
Reason
1. 𝑊𝑌 ≅ 𝑋𝑍 , 𝑊𝑍 ⊥ 𝑍𝑌 , 𝑋𝑌 ⊥ 𝑍𝑌
1. Given
2. ∠𝑍 𝑎𝑛𝑑 ∠𝑌 are right angles
2. Def. of perpendicular lines
3. △𝑊𝑌𝑍 𝑎𝑛𝑑 △𝑋𝑍𝑌 are right triangles
3. Def. of right triangles
4. 𝑍𝑌 ≅ 𝑍𝑌
4. Reflex. Prop.
5. △𝑊𝑌𝑍≅△𝑋𝑍𝑌
5. HL