If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

Question

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
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Solution 1

This statement is a postulate in geometry known as the Corresponding Angles Postulate. Here's the step-by-step explanation:

  1. A transversal is a line that intersects two or more lines at different points.

  2. When a transversal intersects two lines, it forms several pairs of angles. Among these a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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Similar Questions

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.

If two lines are cut by a transversal so that a pair of consecutive interior angles (same side interior angles) are congruent, then the lines are parallel.

If two parallel lines are cut by a tranversal, then alternate interior angles are congruent  True False

When two parallel lines are cut by a transversal, interior angles are supplementary.

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