If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are parallel.If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal.If a transversal intersect two parallel lines, then each pair of corresponding angles are equal.The pairs of interior angles on the same side of the transversal are called pairs of consecutive interior angles.Two angles on the same side of a transversal are known as the corresponding angles if both lie either above the two lines or below the two lines.* Part of transversal which is between the two lines is called intercept (AB). If two parallel lines are cut by a transversal, then each pair of interior angles as well as exterior angles on the same side of the transversal are supplementary.
If two parallel lines are cut by a transversal, the pair of alternate (interior as well as exterior) angles are equal.If two or more parallel lines are cut by a transversal, then each pair of the corresponding angles have equal measure.Pairs of exterior angles on the same side of the transversal Pairs of interior angles on the same side of the transversal In other words, A pair of angles in which one arm of each of the angle lies on opposite side of the transversal and other arm of the angle is the segment of the transversal, made by the two line is called a pair of alternate interior angles.Ī pair of angles in which one arm of both the angles is on opposite side of the transversal and whose other arms do not include the segment of the transversal, made by the two lines, and are directed in opposite sides of segment of the transversal is called a pair of alternate exterior angles. (ii) lie on opposite side of the transversal, and In other words, two angles on the same side of the transversal either above or below the two given lines are called corresponding angles. (iii) are in corresponding positions (above or below, left or right) relative to the two lines are called corresponding angles. (ii) lie on the same side of the transversal and Observe the angles marked in each of the figure. The angles whose arms include the line segment of the transversal between the two lines are called interior angles. Let two lines p and q be cut by a transversal t, then the following angles are formed.Īngles which do not contain the segment of the transversal between the two lines are called exterior angles. Angles formed when a transversal cuts two lines: Part of transversal which is between the two lines is called intercept (AB). The distance between two parallel lines is same everywhere or if the perpendicular distances between two lines are equal, lines are parallel, other wise not.įor example, the distance between two Railway lines.Ī line which intersect two or more given lines at distinct points, is called a transversal of the given lines. (ii) they do not intersect when produced indefinitely in either direction and we write l || m (which is read as ‘ l is parallel to m‘) Two lines l and m are said to be parallel if What are Parallel lines and Transversals?
0 kommentar(er)
