The consecutive interior angles theorem states that if a transversal intersects two lines with supplementary consecutive interior angles, then the two lines are parallel. This is achieved when a transversal line crosses two parallel or non-parallel lines. Consecutive interior angles, also known as co-interior, are formed when a transversal line crosses two parallel or non-parallel lines.
The converse of the consecutive interior angles theorem states that if a transversal line intersects two lines with supplementary consecutive interior angles, then the sum of the consecutive interior angles is equal to 180°. This is used to prove that two lines crossed by a transversal are parallel.
When two parallel lines are cut by a transversal, the pairs of consecutive interior angles are supplementary. The converse of the consecutive interior angles theorem states that when a transversal intersects two lines and each pair of consecutive interior angles adds up to 180°, proving that the lines are parallel.
In summary, the consecutive interior angles theorem is a crucial tool in determining the parallelity of two lines when a transversal intersects two lines with supplementary consecutive interior angles.
📹 What is the Consecutive Interior Angle Converse Theorem
Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same …
📹 What is the Alternate Interior Angle Converse Theorem
Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same …
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