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Question

The faces of a regular triangular pyramid are:

A
Congruent and Similar
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B
Neither congruent nor similar
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C
Congruent but not similar
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D
Similar but not congruent
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Solution

The correct option is A Congruent and Similar
In a regular triangular pyramid, all the faces are triangles (The base is an equilateral triangle and the lateral faces are triangles in any pyramid)
All the edges are equal in length.
Hence the triangles formed by all the faces are congruent triangles.

(Note that all congruent triangles are similar.)

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