Question

Which statement is true in plane geometry but not true in spherical geometry?

Any two lines intersect in exactly one point.

A triangle can be drawn through any three non-collinear points.

The sum of the measures of the angles in a triangle is 360°.

Any two points determine a unique line.

Answer 1

Answer

Can someone give me the answer

Step-by-step explanation:

Answer 2

Spherical geometry is used in navigating between locations on the Earth's surface

The correct option for the statement that is true in plane geometry but not true in spherical geometry, is the first option;

Any two lines intersect in exactly one point

Reason:

Spherical geometry is the geometry that considers geometric objects on a spherical surface

While the basic terms in plane geometry are the lines and points, the basic terms in spherical geometry are the great circle and the point, such hat the line in plane geometry is equivalent to a great circle in spherical geometry

• In plane geometry, it is true that two lines have exactly one point where they intersect.

• The above statement is not true for spherical geometry because two great circles intersect at two points which are antipodal

Therefore, the statement that is true in plane geometry but not true in spherical geometry is that any two lines intersect in exactly one point

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