
The points P, Q and X that are being related.

Answer to Problem 21CE
X is the Midpoint of P and Q.
Explanation of Solution
Given information:
Draw two points P and Q on a sheet of paper. Fold the paper so that fold line f contains both P and Q. Unfold the paper. Now fold so that P falls on Q. Call the second fold g. Lay the paper flat and label the intersection off and g as point X.
Formula used:
Midpoint is the point on the segment that divides the segment into two congruent segments.
Calculation:
Consider the below statement and associated figure.
Draw two points P and Q on a sheet of paper.
Fold the paper so that fold line f contains both points P and Q.
Unfold and fold along line P and Q so that point P falls on Q.
The second fold is called g.
From the figure it can be seen
The point X is the intersection of line f and Q,
Which lies in the middle of points P and Q as the fold g is done so that points P and Q over1ap.
From the definition,
Midpoint is the point on the segment that divides the segment into two congruent segments.
Hence, the answer is X is the Midpoint.
Conclusion:
X is the Midpoint of P and Q.
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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