a.
To Find: on which F must lie on if it is equidistant from E and G shown in figure.
a.
Answer to Problem 7CE
perpendicular bisector.
Explanation of Solution
Given:
Figure is shown below.
F is equidistant from E and G.
Calculation:
According to theorem, if a point is equidistant from the endpoints of the segment, then the point lies on the perpendicular bisector of a segment.
Then F must lie on perpendicular bisector of
Therefore, the answer is perpendicular bisector.
b.
To Find: on which H must lie on if it is equidistant from E and G shown in figure.
b.
Answer to Problem 7CE
perpendicular bisector.
Explanation of Solution
Given:
Figure is shown below.
H is equidistant from E and G.
Calculation:
According to theorem, if a point is equidistant from the endpoints of the segment, then the point lies on the perpendicular bisector of a segment.
Then H must lie on perpendicular bisector of
Therefore, the answer is perpendicular bisector.
c.
To deduce: from the statements “F is equidistant from E and G and H is equidistant from E and G shown in figure.
c.
Answer to Problem 7CE
perpendicular bisector.
Explanation of Solution
Given:
Figure is shown below.
F is equidistant from E and G and H is equidistant from E and G .
Calculation:
Since F lies on the perpendicular bisector of EG and H lies on the perpendicular bisector of GG , then FH is the perpendicular bisector of
Therefore, the answer is perpendicular bisector.
d.
To State: the theorem which has been used to prove the statement “
d.
Explanation of Solution
Given:
Figure is shown below.
FH is the perpendicular bisector of
Calculation:
Theorem 4.6 has been proved.
According to this theorem, if a point is equidistant from the endpoints of the segment, then the point lies on the perpendicular bisector of a segment.
Chapter 5 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning