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Q6

Expert-verified
Geometry
Found in: Page 174
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

Suppose you know that SOKCOA. 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.

See the step by step solution

Step by Step Solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Description of step.

It is being given that SOKCOA.

That implies it is been given that the triangles SOK and COA are the congruent triangles.

Therefore, it can be said that SOCO and KOAO.

As, SOCO and KOAO, 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.

Step 3. Write the principal definition or theorem that enables you to deduce, from the information given, 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.

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