Spherical Geometry
Lines in spherical geometry are called ___________.
Great Circles
If the AB is the same length as DE, then AB is what compared to DE?
Congruent
According to the triangle inequality, the sum of any two sides of a triangle must be _______ _____ the third side.
Greater than
What color shirt should the fans wear tonight to the football game against Bruni?
Yellow
Are there parallel lines in spherical geometry?
NO
Angle Measure and Side Length
DAILY DOUBLE
Can the following sides form a triangle?
3, 4, 5
Yes
Did the junior high football team win last night?
DAILY DOUBLE
In order to be classified as a great circle, the lines must go through the _________ of the sphere.
Poles
If triangle ABC is congruent to DEF, angle C is congruent to what angle?
Angle F
Can the following sides form a triangle?
18, 32, 50
No
The volleyball team had an amazing year but came up short against Three Rivers last night. How many wins did the volleyball team have this year? (Can be in a range of + or - 2 wins)
22 wins on the year. Acceptable answers would be 20-24
Is latitude considered a great circle? Why or why not?
It is not considered a great circle because latitude wraps around the Earth as places that are not "poles".
If triangle ABC is congruent to triangle DEF and BC is 8.3 inches, what is the length of EF?
8.3 inches
Find the range of possible lengths for the third side given the two lengths below.
9 and 18
9<x<27
What is the latitude and longitude for Sabinal? You have 30 seconds until the next team can answer.
29.3175° N, 99.4664° W
Explain the relationship between the sum of interior angles of a triangle in Euclidean and Spherical Geometry.
Euclidean is 180 degrees and Spherical is more than 270.
If triangle ABC is congruent to triangle DEF. The measure of angle A is 85 degrees and the measure of angle D is 6x+7. Find the value of x.
x=13
Find the range of possible lengths for the third side given the two lengths below.
16 and 45
29<x<61
When was the equals sign invented? (Can be in a range of + or - 25 years)
1557