Corresponding Angles Worksheet

Corresponding Angles Worksheet 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.