Question

The faces of a regular triangular pyramid are _____.

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

Answer 1

The correct option is D Congruent and similar

In a regular triangular pyramid, all of its faces are equilateral triangles.
(It has a equilateral triangle as base and equilateral triangles as the lateral faces connecting the base to a common point.)

All the edges are equal in length.
Hence the triangles formed by all the faces are congruent triangles.
We know all the congruent triangles are similar.
Therefore, the faces of a regular triangular pyramid are congruent and similar.