To understand this better let's think about a practical scenario. It states that if a line segment is congruent to another line segment, then the second line segment is also congruent to the first line segment. Symmetric property is based on the principle that, if A = B then, B = A. Therefore, the pole follows reflexive property.Ĭonsider a line segment XY = 5cm. When the height of a pole is compared to itself, they are exactly equal and hence congruent.
This can be understood by taking a real-time example. It states that a line segment is always congruent to itself as the lengths remain the same. Reflexive property is based on the principle of comparing an object to itself. Let us have a brief understanding of each of the properties individually. The properties followed by congruent lines in geometry are: To understand more about the congruent line segments, we will be looking into their properties as listed below. Here line segment PQ ≅ XY since the double vertical bars on each line segment, PQ and XY depict their equality. Let's look into the diagram below showing congruent line segments. Opposite sides of a parallelogram, rectangle, square, and rhombus.Now, let us look into some examples of congruent line segments we find in mathematics. All three terms are mathematically the same. To brief it, congruent segments is just another name given to congruent line segments or congruent lines in geometry. The symbol used to depict congruence between any two congruent line segments is ≅. On turning, flipping, or rotating the congruent segments, they still remain to be congruent. Congruent segments are superimposable figures, which completely overlap when placed one over the other.
Two lines are said to be congruent when they have the same length.
The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Congruent line segments are 1-dimensional geometrical figures having equal measures.
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