Corresponding Angles Definition
When two lines are cut by a single line, the angles at the same corners will be termed Corresponding Angles. For example, in the following image, b and f are two corresponding angles.
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The line that cuts the lines is called the Transversal line. It can have any direction or make any angle with those lines. The lines can either be parallel or non-parallel. If the lines are parallel, the corresponding angles will be equal.
Note:
Read about Transversal lines and Parallel lines here.
Tips to find corresponding angles
To find corresponding angles, you can split the lines into multiple shapes. First, you can consider the upper portion of both lines to compare the angles. The angle at the left side of the transversal line on Line 1 will be corresponding to the angle at the left side of the transversal line on Line 2.
Similarly, you can compare all eight angles formed by the line on the given two lines. It is the easiest method to do so as you can split the whole figure into separate parts to find corresponding angles.
Significance of corresponding angles
In Geometry, Corresponding angles have great importance. It has become the base of multiple rules related to Triangles, circles, and Rectangles.
Note:
Read about Triangle, Circles, and Rectangles here.
What is the opposite of corresponding angles?
Like corresponding angles, some angles are also at opposite corners when two lines are cut by the same line. Those angles are called Alternate angles and are considered opposite to corresponding angles.
Note:
You can read about Alternate Angles here.
FAQ's
Can corresponding angles be supplementary?
Yes, corresponding angles can be supplementary.
Can non-parallel lines make corresponding angles?
Yes, corresponding angles can be made from non-parallel lines too.
What are alternate angles?
Angles at the opposite corners of the lines when two lines are cut by the same line are called alternate angles.
Can corresponding angles be right angles?
Yes, if the transversal line is perpendicular to both lines, the corresponding angles will be the right angle.
