(a)
To Prove: The two column proof for the given data.
(a)
Explanation of Solution
Given:
The reflection in the line
The objective is to prove
Calculation:
Consider the reflection in the line
The perpendicular segment is the line that divides the line segment into two intervals. Thus, p is the perpendicular bisector of
Thus, as the line is perpendicular to the portion of the segment and is perpendicular to the whole segment then the
Hence, proved.
(b)
To Prove: The two column proof for the given data.
(b)
Explanation of Solution
Given:
The reflection in the line
The objective is to prove
Calculation:
Consider by the reflection of the image,
As, the congruent segments are the line segments that are equal in the length then,
Then, by the segment addition is,
Consider the segment addition as,
Then,
Hence, proved.
Chapter 9 Solutions
Geometry, Student Edition
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