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Chapter 2: Q12. (page 69)

Write a proof in two-column form.

Given: DC↔⊥BD↔; ∠1≅∠2.

Prove:BA↔⊥BD↔

Short Answer

Expert verified

The two-column proof is :

Statement
Reason
∠1=90°
DC↔⊥BD↔
∠2=90°
∠1=90°and ∠1≅∠2
BA↔⊥BD↔
∠2=90°

Step by step solution

01

Step 1. Observe the diagram.

Here, DC↔⊥BD↔; ∠1≅∠2.

02

Step 2. Show the two-column proof.

StatementReason
‎∠1=90°
DC↔⊥BD↔
‎∠2=90°
∠1=90°and∠1≅∠2
BA↔⊥BD↔
∠2=90°
03

Step 3. State the conclusion.

Therefore, DC↔⊥BD↔is proved using the information DC↔⊥BD↔; ∠1≅∠2 .

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