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Q.
What is the meaning of congruent?
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a
All of the above
b
'congruent' means equal in all respects of figures shapes and sizes are both same.
c
'congruent' means equal in shapes only
d
'congruent' means equal in sizes only
answer is C.
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Detailed Solution
The term congruent refers to figures, shapes, or objects that are identical in every aspect, including their size, shape, and dimensions. In simple terms, the congruent meaning is that two or more figures are exactly the same in their measurements and appearance.
Congruent Meaning in Geometry
In geometry, the congruent meaning is often applied to shapes such as triangles, squares, and other polygons. For instance, two triangles are said to be congruent if their corresponding sides are of equal length and their corresponding angles are of equal measure. This is a fundamental concept used to compare shapes and solve problems related to similarity and equality.
How to Identify Congruent Figures
To identify whether two figures are congruent, check for the following:
- All corresponding sides are equal in length.
- All corresponding angles are equal in measure.
For example, if two squares have sides measuring 5 cm each and all their angles are right angles, they meet the criteria of the congruent meaning.
Applications of Congruent Meaning
The congruent meaning has applications in various fields such as architecture, design, and mathematics. In construction, ensuring that parts are congruent helps maintain symmetry and balance in structures. In mathematics, congruency is essential for proofs and solving geometric problems.