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Q5

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

State the principal definition or theorem that enables you to deduce, from the information given, that quadrilateral *SACK* is a parallelogram.

$\angle SKC\cong \angle CAS$; $\angle KCA\cong \angle ASK$

The theorem that enables us to deduce from the information given, that quadrilateral *SACK* is a parallelogram is that **if both pairs of opposite angles of the quadrilateral are congruent then the quadrilateral is a parallelogram.**

The given diagram is:

It is being given that $\angle SKC\cong \angle CAS$ and $\angle KCA\cong \angle ASK$.

That implies it has been given that both pairs of opposite angles of the quadrilateral *SACK* are congruent.

The theorem that enables us to deduce from the information given, that quadrilateral *SACK* is a parallelogram is that if both pairs of opposite angles of the quadrilateral are congruent then the quadrilateral is a parallelogram.

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