What is the relationship between the angles formed by a transversal intersecting
Practice Questions
Q1
What is the relationship between the angles formed by a transversal intersecting two parallel lines?
All angles are equal
Alternate angles are equal
Consecutive angles are equal
None of the above
Questions & Step-by-Step Solutions
What is the relationship between the angles formed by a transversal intersecting two parallel lines?
Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify the two parallel lines. Parallel lines are lines that never meet and are always the same distance apart.
Step 3: Draw the transversal line so that it intersects the two parallel lines.
Step 4: Look at the angles formed where the transversal crosses the parallel lines. There are several pairs of angles created.
Step 5: Identify the alternate angles. These are the angles that are on opposite sides of the transversal and inside the parallel lines.
Step 6: Notice that these alternate angles are equal. This means if one angle measures 30 degrees, the angle on the opposite side of the transversal will also measure 30 degrees.
Step 7: Remember that this property holds true for any transversal intersecting two parallel lines.
