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 said about the two lines? (2020)
They are parallel
They are perpendicular
They intersect
They are skew lines
Questions & Step-by-Step Solutions
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.
