Two angles are congruent if they have the same measure. You already know that when two lines intersect the vertical angles formed are congruent.

2) Opposite angles are congruent (they equal each other).

Definition: Angles are congruent if they have the same angle measure in degrees. For angles, ‘congruent’ is similar to saying ‘equals’. You could say “the measure of angle A is equal to the measure of angle B”. But in geometry, the correct way to say it is “angles A and B are congruent”.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal.

Same side interior angles are sometimes congruent. Rather, they are supplementary (i.e., add up to $$180º ), so they are only congruent when they are both $$90º .

No, supplementary angles are not always congruent, and we can demonstrate this by showing an example of two supplementary angles that are not…

The angles lie on the same side of the transversal in “corresponding” positions. When the lines are parallel, the measures are equal. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

Congruent line segments are simply segments with the same measure (length). If segment AB is congruent to segment CD , we write: ¯AB≅¯CD. In geometrical figures, two segments are shown to be congruent by marking them with the same number of small perpendicular marks, as shown below.

Linear pairs of angles are not always congruent. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. Vertical angles can only be supplementary, when the measure of each of the angles is 90 degrees.

The other line segment will change to remain congruent with it. Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.

: a line that intersects a system of lines.

As seen from the above picture, the two consecutive exterior angles are supplementary because the transversal line cuts the parallel lines. They consecutive exterior angles adds up to 180 degrees.

are called Consecutive Interior Angles. When the two lines are parallel, any pair of Consecutive Interior Angles add to 180 degrees. …

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.

When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. Also the angles 4 and 6 are consecutive interior angles. …

The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees.

When transversals cross through two parallel lines, they create two identical sets of angles. The angles that would be supplementary (next to each other, in this case) on one side of the transversal are called consecutive. Consecutive angles are always supplementary if the transversal crosses parallel lines.

: following one after the other in order : successive served four consecutive terms in office.

Successive is a word for things (or people) that follow each other in time. If three presidents in a row were over sixty, you could say, “Three successive presidents were over sixty.” Even though successive has the word success in it, it’s not necessarily a good thing: you could also miss ten successive free throws.

2 following one another without interruption; successive.

adjective. following one another in uninterrupted succession or order; successive: six consecutive numbers, such as 5, 6, 7, 8, 9, 10. marked by logical sequence.