Corollaries of Quadrilaterals from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
When studying quadrilaterals, it is essential to understand the various corollaries associated with them. These corollaries are additional theorems that can be derived from the properties of quadrilaterals. By knowing these corollaries, we can solve problems related to quadrilaterals more efficiently. One important corollary of quadrilaterals is that the opposite angles of a parallelogram are equal. This means that if we have a parallelogram, the angles opposite each other will have the same measure. This property can be helpful when working with parallelograms in geometric proofs. Another corollary deals with the diagonals of a parallelogram. In a parallelogram, the diagonals bisect each other. This means that the point where the diagonals intersect divides the diagonals into two equal parts. Knowing this corollary can help us find the length of the diagonals in a parallelogram. Additionally, the diagonals of a rectangle are equal in length. This is another corollary of quadrilaterals that can be useful when working with rectangles. By knowing that the diagonals of a rectangle are equal, we can easily find the length of the diagonals in a given rectangle. Furthermore, the diagonals of a rhombus are perpendicular to each other. This corollary is specific to rhombuses and can be used to prove that a given quadrilateral is indeed a rhombus. By understanding this corollary, we can easily identify rhombuses in geometric problems.- Understanding the corollaries of quadrilaterals is crucial in geometry. These corollaries provide additional information about the properties of quadrilaterals, which can help us solve problems more effectively. By applying these corollaries in geometric proofs, we can deepen our understanding of quadrilaterals and their properties.
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