If two lines are cut by a transversal and the corresponding angles are equal, wh

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Question: If two lines are cut by a transversal and the corresponding angles are equal, what can be said about the two lines? (2020)

Options:

Correct Answer: They are parallel

Exam Year: 2020

Solution:

If the corresponding angles are equal, it indicates that the two lines are parallel.

If two lines are cut by a transversal and the corresponding angles are equal, what can be said about the two lines? (2020)

If two lines are cut by a transversal and the corresponding angles are equal, what can be said about the two lines? (2020)

Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify what corresponding angles are. Corresponding angles are the angles that are in the same position at each intersection where the transversal crosses the two lines.
Step 3: Observe the situation where the transversal cuts the two lines and note the corresponding angles formed.
Step 4: Check if the corresponding angles are equal. This means that the angle on one line is the same as the angle on the other line at the same position.
Step 5: Conclude that if the corresponding angles are equal, then the two lines must be parallel. This is a key property in geometry.

Corresponding Angles Postulate – If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.