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- 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.
mathopenref.com/congruentlines.html
If the lengths of two line segments are equal, they are known to be congruent. For example, sides of an equilateral triangle are congruent as all the three sides are of equal measure. The distance between two lines which are line segments and are congruent have a distance of zero units between them.
For line segments, 'congruent' is similar to saying 'equals'. You could say "the length of line AB equals the length of line PQ". But in geometry, the correct way to say it is "line segments AB and PQ are congruent" or, "AB is congruent to PQ".
Prepare a worksheet with several math problems on how to prove lines are parallel. For instance, students are asked to prove the converse of the alternate exterior angles theorem using the two-column proof method. Include a drawing and which angles are congruent. Divide students into pairs.
There are a few possible cases: If two triangles satisfy the SSA condition and the length of the side opposite the angle is greater than or equal to the length of the adjacent side (SSA, or long side-short side-angle), then the two triangles are congruent.
Two line segments are said to be congruent to each other if they have equal lengths. They may or may not align at the same angle with an axis or position in the plane. To find whether one line segment is congruent to the other or not, we use the same method of superposition as discussed above.
Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.
Two line segments are congruent to each other if they have the same length. That is, line segment A B ≅ line segment C D, if A B = C D. Two squares are congruent if the length of their sides is the same.
