7. Complete the following table by writing only the number and the answer On the sphere On the plane The straight line has no centre. 7.1 7.2 If you follow a great circle you will always return to your startingpoint. There is a unique straight line passing through any pair of points. The points divide the line into three sections, two infinite rays and one finite segment. 7.3
7. Complete the following table by writing only the number and the answer On the sphere On the plane The straight line has no centre. 7.1 7.2 If you follow a great circle you will always return to your startingpoint. There is a unique straight line passing through any pair of points. The points divide the line into three sections, two infinite rays and one finite segment. 7.3
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
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Transcribed Image Text:7. Complete the following table by writing only the number and the answer
On the plane
On the sphere
The straight line has no centre.
7.1
If you follow a great circle you will
always return to your startingpoint.
7.2
There is a unique straight line passing through any
pair of points. The points divide the line into three
sections, two infinite rays and one finite segment.
7.3
You draw and write on a flat surface or a flat
7.4
computer screen
A tangent to a circle is perpendicular to the radius
that meets the circle at the point of tangency.
7.5
A pair of perpendicular great
circles divides the sphere into four
finite congruent regions.
7.6
7.7
You can measure area in degrees
![1. Differentiate between a line segment on a sphere and line segment on a plane.
2. Can the latitudes and the longitudes ever be perpendicular to each other? Explain
3. A triangle is the simplest polygon on a plane. What is the simplest polygon on a
sphere?
4. How will the shortest spherical route between San Francisco, California, to
Moscow,Russia appear if you place your string on a planar map of Earth? [Give the
geometric shape.]
5. Explain why there is only one shortest route between Cape Town and Durban.
6. On a sphere, when will a pair of railway tracks be parallel?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa5789f3-6870-42cf-a0f3-cd25c198dde7%2F5cd767a3-84fe-4973-ba10-b0a2a33cfd6c%2F2vjlpwni_processed.png&w=3840&q=75)
Transcribed Image Text:1. Differentiate between a line segment on a sphere and line segment on a plane.
2. Can the latitudes and the longitudes ever be perpendicular to each other? Explain
3. A triangle is the simplest polygon on a plane. What is the simplest polygon on a
sphere?
4. How will the shortest spherical route between San Francisco, California, to
Moscow,Russia appear if you place your string on a planar map of Earth? [Give the
geometric shape.]
5. Explain why there is only one shortest route between Cape Town and Durban.
6. On a sphere, when will a pair of railway tracks be parallel?
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