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Q6

Expert-verifiedFound in: Page 174

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

Suppose you know that $\u25b3SOK\cong \u25b3COA$. Explain how you could prove that quadrilateral *SACK* is a parallelogram.

The quadrilateral *SACK* is a parallelogram that can be proved by using the fact that if both diagonals of the quadrilateral bisect each other then the quadrilateral is a parallelogram.

The given diagram is:

It is being given that $\u25b3SOK\cong \u25b3COA$.

That implies it is been given that the triangles $\u25b3SOK$ and $\u25b3COA$ are the congruent triangles.

Therefore, it can be said that $SO\cong CO$ and $KO\cong AO$.

As, $SO\cong CO$ and $KO\cong AO$, therefore it can be said that *SC* and *KA* are bisecting each other.

From the diagram, it can also be noticed that *SC* and *KA* are the diagonals of the quadrilateral *SACK*.

That implies it has been given that diagonals of the quadrilateral *SACK* are bisecting each other.

The quadrilateral *SACK* is a parallelogram that can be proved by using the fact that if both diagonals of the quadrilateral bisect each other then the quadrilateral is a parallelogram.

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