Corresponding Angles Worksheet

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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.




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