Two Congruent Lines

In geometry, lines play an important role. Basically, there are various types of lines in geometry. Whenever two lines are equal in length, then they are said to be two congruent lines. In this article we shall discuss  the two congruent lines. Also we shall solve sample problems based on two congruent lines.

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Two Congruent Lines:

When two lines have the same length, then they are said to be two congruent lines. Excluding they should not placed at the similar angle or the similar location on the plane.

When two line segments have the similar length, then they are two congruent lines. Though, the two congruent lines may not be parallel. They can be at any angle or direction on the plane. In the form above, there are two congruent line segments.

              

For any line segments, congruent is similar to equals. From the above diagram, we saw that the length of line AB equal to the length of line CD. The exact method to say in geometry, that it is line segments AB and CD are congruent.

For example,

•  AB and CD are two-line segments of equivalent lengths i.e. AB = CD in case, if we locate AB on CD.

• Let us believe the two congruent of angles. Assume the measures of two angles are equivalent i.e. PQR = XYZ.

• Then by placing PQR on XYZ in a method that point Q cascade on point Y and line segment QR on YX. PQR and XYZ are congruent i.e. PQR = XYZ.

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Example for Two Congruent Lines:

Example Problem: X and Y are any two congruent lines which are parallel as shown in the figure, F = 45°. Find the congruent angle given in the figure below.

              

Solution: Given that, angle F = 45°

               So, the corresponding angle B = 45°

               Now, Angle E = 180° − 45° = 135°

               So, the corresponding angle C = 135°

               Since the lines X and Y are parallel,

               Angle D = 45° because the angle F = 45°

               The corresponding angle H = 45°

               Angle G = 180° − 45° = 135°, because the angle H = 45°

               Angle A = 180° − 45° = 135°, since angle D = 45°

Answers: AngleA = 135°, AngleB = 45°, AngleC = 135°, AngleD = 45°, AngleE = 135°, AngleF = 45°, AngleG = 135°, AngleH = 45°.