Concept explainers
(a)
To sketch: Two pairs of parallel lines that will intersect like the shown figure. The quadrilateral formed by
(a)
Explanation of Solution
(b)
To Find: The missing values of the given table.
(b)
Answer to Problem 48PPS
The missing values of the table are inserted.
Explanation of Solution
By using the figure drawn in subpart (a) the missing values of the table are.
(c)
To Find: A conjecture about the relationship of the
(c)
Answer to Problem 48PPS
The conjecture is made.
Explanation of Solution
Analysing the results, we can say that the angles that are opposite to each other in a quadrilateral formed by two parallel lines will be congruent.
Hence, the conjecture is made.
(d)
To Find: A conjecture about the relationship between two consecutive angles in a quadrilateral that is formed by two pairs of parallel lines.
(d)
Answer to Problem 48PPS
The conjecture is made.
Explanation of Solution
Analysing the results, we can say that two consecutive angles in a quadrilateral that is formed by two pairs of parallel lines are supplementary.
Hence, the conjecture is made.
(e)
To Find: A conjecture about the relationship between two opposite sides of each other in a quadrilateral that is formed by two pairs of parallel lines.
(e)
Answer to Problem 48PPS
The conjecture is made.
Explanation of Solution
Analysing the results, we can say that he sides that are opposite to each other in a quadrilateral that is formed by two pairs of parallel lines are congruent.
Hence, the conjecture is made.
Chapter 6 Solutions
Geometry, Student Edition
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