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Chapter 9: Q13. (page 336)

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

Short Answer

Expert verified

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

Step-by-step solution

Step by step solution

01

Step 1. Given information.

Theorem about spheres.

02

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.

03

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.

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