If two lines are cut by a transversal and the corresponding angles are equal, wh
Practice Questions
Q1
If two lines are cut by a transversal and the corresponding angles are equal, what can be concluded about the lines?
They are perpendicular.
They are parallel.
They intersect.
They are skew.
Questions & Step-by-Step Solutions
If two lines are cut by a transversal and the corresponding angles are equal, what can be concluded about the lines?
Step 1: Identify the two lines that are being cut by a transversal (a line that crosses them).
Step 2: Look for pairs of corresponding angles. Corresponding angles are the angles that are in the same position relative to the two lines and the transversal.
Step 3: Check if the corresponding angles are equal in measure.
Step 4: If the corresponding angles are equal, you can conclude that the two lines are parallel.
Step 5: This conclusion is based on the Corresponding Angles Postulate, which states that if two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.
