(a)
To State: The contrapositive of corollary,“if a quadrilateral is inscribed in a
(a)
Answer to Problem 10CE
Explanation of Solution
Concept used:
In a contrapositive statement both hypothesis and conclusion are interchanged and negated.
Calculations:
The contrapositive statement is.
“If the opposite angles in a quadrilateral are not supplementary then, thequadrilateral is not inscribed in a circle”.
(b)
To Find: whether it is possible to circumscribe a circle about quadrilateral PQRS such that
Answer to Problem 10CE
No, because opposite angles are not supplementary.
Explanation of Solution
Given:
No, it is not possible because in a inscribed quadrilateral opposite angles are supplementary which means their sum is
In this case, sum is.
Therefore, the answer is no.
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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