Practice Proofs 2.7 – 2.8
write a two-column proof to verify the conjecture.
̅̅̅ then PQ = ST.
1. If ̅̅̅̅
𝑃𝑄 ≅ ̅̅̅̅
𝑄𝑆 and ̅̅̅̅
𝑄𝑆 ≅ ̅𝑆𝑇
2. Given: ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐷𝐸
B is the midpoint of ̅̅̅̅
𝐴𝐶 .
̅̅̅̅ .
E is the midpoint of 𝐷𝐹
̅̅̅̅
̅̅̅̅
Prove: 𝐵𝐶 ≅ 𝐸𝐹
3. Given: ̅̅̅̅
𝐴𝐵 ⊥ ̅̅̅̅
𝐵𝐶 ;
∠1 and ∠3 are
complementary.
Prove: ∠2 ≅ ∠3
4.
Given: ∠1 and ∠2
form a linear pair.
m∠1 + m∠3 = 180
Prove: ∠2 ≅ ∠3
5. Given: PQ =15, M is the midpoint of segment PR, Prove: PR=34