If two parallel lines are cut by a transversal, which of the following statement

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Question: If two parallel lines are cut by a transversal, which of the following statements is true? (2023)

Options:

Correct Answer: Alternate interior angles are equal

Exam Year: 2023

Solution:

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

If two parallel lines are cut by a transversal, which of the following statements is true? (2023)

If two parallel lines are cut by a transversal, which of the following statements is true? (2023)

Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
Step 2: Learn what a transversal is. A transversal is a line that crosses two or more other lines.
Step 3: Visualize the situation. Draw two parallel lines and a transversal line that cuts across them.
Step 4: Identify the angles formed. When the transversal cuts the parallel lines, it creates several angles.
Step 5: Focus on alternate interior angles. These are the angles that are on opposite sides of the transversal and inside the parallel lines.
Step 6: Remember the key fact: When two parallel lines are cut by a transversal, the alternate interior angles are equal.

Parallel Lines and Transversals – When two parallel lines are intersected by a transversal, specific angle relationships are established, such as alternate interior angles being equal.