Tangent Planes to Solids (Leaving Cert DCG): Quizzes

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Tangent Planes to Solids
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What is a tangent plane to a solid?

Flat surface touching at one point only

What is the key relationship between a tangent plane to a sphere and its radius at point P?

Perpendicular to the radius

How does a tangent plane to a cone relate to the cone's base circle?

Tangential to the base circle

What are traces in technical drawing?

Lines where plane meets reference planes

What is true about the horizontal trace of a tangent plane to a cone?

Tangential to the base circles

How many solutions typically exist for tangent planes to both a cone and sphere?

Four possible solutions

What drawing technique is essential for showing true relationships in tangent plane problems?

Auxiliary views

When a cone is placed over a sphere with the same base angle, what are the generatrix lines?

Tangential to the sphere

How should a tangent plane contact a solid?

Touch only, never cut through

Along what does a tangent plane make contact with a cone?

Whole generatrix line

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