geometry.....?

Question

1.Which is true about both Pappus's Theorem and Desargues' Theorem?


A.
Each hypothesis is based on triangles.

B.
Each theorem involves a dilation.

C.
Each conclusion states that three points are collinear.

D.
Each theorem applies to spherical geometry.

2. In spherical geometry, which indicates the possible number of right angles a triangle may have?
A.1
B.2
C.3
3. Which is true about taxicab geometry?
A.
Taxicab geometry is measured in the coordinate plane and therefore is a branch of Euclidean geometry.

B.
The shortest distance between two points is a straight line.

C.
To travel a path in taxicab geometry, you can move vertically, horizontally, or diagonally on a coordinate grid.

D.
Between points A and B, there may be more than one path that shows the taxidistance.

4. If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have?

when answering make sure your posotive with your answer thankyou!

Answer 1

I can't help with most of these questions-sorry. However, for #4, You can use Euler's formula V-E+F=2 to find the number of vertices. EX: V-12+8=2. For this to be true, there must be 6 vertices. Sorry I can't help with any of the other questions.

Answer 2

C.

3.

D.

F+V=E+2