Corresponding angles worksheet deals with problems based on angles. A straight line which cuts two or more lines at distinct points is called a transversal. Corresponding angles are pair of angles matching in corners. The corresponding angles are always congruent if a transversal intersects two parallel lines. Corresponding lines are mostly used to prove if lines are parallel. If angles are congruent (same) then the lines cut by a traversal are parallel. Corresponding angles are created when a traversal crosses parallel lines.
Axiom of corresponding angles are given below
1. If a transversal cuts two parallel straight lines, then each pair of corresponding angles are equal.
2. Conversely, when a transversal cuts two straight lines and if a pair of corresponding angles are equal, then the straight lines are parallel.
Example 1: Identify 2 pairs of corresponding angles from the given figure.
Solution: From the figure line 3 crosses other two line 1 and 2
=> We know that Corresponding angles are created when a traversal crosses parallel lines.
=> Corresponding angles are on the same side of line 3 (transversal)
=> Here, angle A and C are corresponding angles.
=> Also angle D and B are also corresponding angles.
=> These angles are always congruent.
Example 2: Identify all the corresponding angles from the given figure
Solution: From the figure line t crosses parallel line r and s
=> Corresponding angles are the angles that are created when a transversal crosses the parallel lines.
=> From the above given figure,
=> 1 and 5, 2 and 6, 4 and 8, 3 and 7 are corresponding angles.