
a)
To find: If line segments
a)

Answer to Problem 37WE
Thus, it proves that
Explanation of Solution
Given information: Plane P and plane Q are parallel to each other as well as two lines j and k passing from two planes are also parallel as shown in below figure,
Concept used: Following concept of theorem 5.4 is used here, “The opposite sides of a parallelogram are congruent.”
Calculation: As plane P and plane Q are parallel, so the line segments lying on them will also be parallel to each other, so,
Also, as lines j and k are parallel, so their corresponding line segments
Conclusion: Thus, it is concluded that
b)
To find: The theorem about parallel planes and lines that are used to prove
b)

Answer to Problem 37WE
Theorem 3.1 that is “If two parallel planes are cut by a third plane, then the lines of intersection are parallel.” Is used here.
Explanation of Solution
Given information: Plane P and plane Q are parallel to each other as well as two lines j and k passing from two planes are also parallel as shown in below figure,
Concept used: Following concept of theorem 3.1 to be used here, ” If two parallel planes are cut by a third plane, then the lines of intersection are parallel.”
Calculation: By using the concept of theorem 3.1 that says that If two parallel planes are cut by a third plane, then the lines of intersection are parallel.” , it is proved here that
Conclusion: So, statement of theorem 3.1 is used here to prove
Chapter 5 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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