Question

Which of the following are true in spherical geometry? Check all that apply. . A. All right angles are still equal. . B. A circle can be drawn with any point at its center. . C. The sum of the measures of the angles of a triangle is greater than 180 degrees.. D. There are many straight lines between any two nonpolar points. . I'm thinking the answer A, B, & D!

Answer 1

A. All right angles are still equal. Yes this is true. A right angle is still a right angle at 90°

B. A circle can be drawn with any point at its center. This is true, but only when it is any point ON the sphere.

C. The sum of the measures of the angles of a triangle is greater than 180 degrees. This does not apply to all triangles but some triangles can have more than 180°. So, we can take this true.

D. There are many straight lines between any two non polar points. This is false. There is only one line between any two points.

Answer 2

You are absolutely correct in your choosing of the options. The correct options among all the options that are given in the question are options "A", "B" and "D". Option "C" cannot be the correct option because the sum of the angles of a triangle can never be greater than 180 degrees. I hope the answer has helped you.