Geometry

Question Analysis

This question involves determining the number of pairs of corresponding angles formed when a transversal intersects two lines. The main focus is on understanding the concept of corresponding angles.

 

Key Concept Explanation

When a transversal intersects two lines, it creates eight angles. Corresponding angles are pairs of angles that are in the same relative position at each intersection.

 

Step-by-Step Solution

Examine the given diagram. Look for angles that are in the same “corner-like” positions at the two intersections made by the transversal.

For the top-left positions at the two intersections, we find angle 2 and angle 6, which form a pair of corresponding angles.

For the top-right positions, angle 3 and angle 7 are a pair of corresponding angles.

For the bottom-left positions, angle 1 and angle 5 are corresponding angles.

For the bottom-right positions, angle 4 and angle 8 are corresponding angles.

 

So, the number of pairs of corresponding angles when a transversal intersect...