Concept explainers
To explain the theorem 14-8.
Answer to Problem 12CE
The theorem 14-8 explained.
Explanation of Solution
Given information: Given transformation
Calculation:
Calculation:
Theorem 14-8 states that;
A composite of reflections in two intersect lines is a rotation about the point of intersection of the two lines.
And the measure of the
Now consider if a line
Therefore,
And if the line of reflection is perpendicular then the composite of the reflection will give;
It means that a composite of the reflections in perpendicular lines is a half-turn about the point
Where the lines intersects, which is the given Corollary.
Thus, the theorem 14-8 explained.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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