Q13. - Geometry

Question

Is there a theorem about spheres related to the theorem in Exercise $12?$ If so, state the theorem.

Step-by-Step Solution

Answer

Two planes tangent to a sphere at the end points of diameter are parallel.

Step-by-step solution

Step 1. Given information.

Theorem about spheres.

Step 2. Concept used.

The theorem that two lines tangent to a circle at the end points of diameter are parallel is also true for sphere.

Step 3. Theorem.

For sphere the theorem states that two planes tangent to a sphere at the end points of diameter are parallel.

Therefore, Yes. Theorem about spheres related to the theorem in Exercise $12$.