If you’re wondering what does corresponding mean in math, simply continue reading to discover a simple easy to understand answer.
What does corresponding mean in math?
Simply put the term corresponding in math refers to objects such as angles which appear in the same exact place, in two similar situations.
What are corresponding angles and how do you go about figuring out the value of corresponding angles?
The mathematical term corresponding angles is commonly used to refer to matching angles. What are corresponding angles? When two straight lines are crossed by a third line, which is known as a traversal line, the angles in each matching corner are referred to as corresponding angles. Corresponding angles are always the same size as each other.
As an example if one angle in a matching corner is 118 degrees, the angle is the corresponding matching corner of the second line will also be 118 degrees.
How to find corresponding angles?
If you label each angle from left to right and top to bottom, you can find corresponding angles by looking at the place of each angle. Angle a and angle e, will be corresponding angles. Angle b and angle f will be matching corresponding angles, angle c and angle g will also be corresponding angles and lastly angle d and angle h will also be even, corresponding angles.
What happens if two lines are crossed by parallel lines?
As a second example, if two straight lines, which do not touch are both crossed by two parallel lines, which each cross one of the two straight lines but don’t intersect each other, you’ll also be able to work out various corresponding angles.
In this example, again assuming that each angle is labelled from a to b, going left to right and top to bottom, angle a and angle e are corresponding angles, angle b and angle h are corresponding angles, angle c and angle f are corresponding angles and angle d and angle h are also corresponding angles.
While it may take a couple of minutes to understand the rules which govern corresponding angles, once you’re able to find out one corresponding angle, you should have no issues figuring out corresponding angles in the future.
Are there any other circumstances in maths in which the term corresponding is frequently used?
Yes, the term corresponding is often used to describe properties of congruent triangles. What is a congruent triangle? A congruent triangle is a common type of triangle where each side is exactly the same length as the other two angles. Congruent triangles also feature three internal angles a right angle and two congruent or equal angles.
As congruent triangles feature equal lines and angles, congruent triangles can also be said to feature corresponding lines and corresponding angles. If you’re ever trying to explain the term corresponding in maths to a friend, it’s a great idea to use this particular example, to illustrate the points which you want to make.
Hopefully you’re now confident about how the term corresponding is used in mathematics and how you can effortlessly figure out corresponding angles.