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Chapter 3: Q34. (page 115)

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

If∠ABCis a right angle, then AB¯⊥BC¯.

Short Answer

Expert verified

Theorem 2-5Justifies the Statement.

Step by step solution

01

Step 1. Find the theorem or postulate that can be used.

According to theorem 2-5, if two lines subtend a right angle or form adjacent congruent angles then the two lines are perpendicular to each other.

02

Step 2. Apply the theorem.

In the given figure ∠ABC is a right angle then AB→andBC→ are perpendicular lines

03

Step 3. Draw the conclusion.

The two linesAB→ and BC→are intersecting each other’s to form ∠ABC=90°then AB→⊥BC→.

Hence, the two lines subtending a right angle are perpendicular to each other’s.

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