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Lines Angles and Triangles
> Converse of Theorem3
Lines Angles and Triangles
Converse of Theorem 3
Statement
If a transversal intersects two lines in such a way that a pair of consecutive interior angles are supplementary, then the two lines are parallel.
Given:
To prove:
AB||CD
Proof:
…(i) [Linear pair (ray FB stands on EFGH)]
( Corresponding angles postulate)
…(ii) ( given)
From (i) and (ii), we have
These are corresponding angles.
AB || CD
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Lines Angles and Triangles
Introduction
Basic Geometrical Concepts
Important Terms
Angles
Theorem
Parallel lines
Transversal
Theorem2
Converse of Theorem2
Theorem3
Converse of Theorem3
Interior and Exterior Angles of Triangle
Theorem4
Angles sum property
Theorem5
Summary
Question and Answers 1
Question and Answers 2
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